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20313262325104 = 24711313150924071
BaseRepresentation
bin1001001111001100011001…
…10010001111110101110000
32122220221002011210110020221
410213212030302033311300
510130303030123400404
6111111441152542424
74164404401606150
oct447461462176560
978827064713227
1020313262325104
1165218960204a1
122340a1a551a14
13b446bc950998
1450324a8d2760
152535dba12954
hex12798cc8fd70

20313262325104 has 160 divisors (see below), whose sum is σ = 45815540474880. Its totient is φ = 8545597132800.

The previous prime is 20313262325047. The next prime is 20313262325113. The reversal of 20313262325104 is 40152326231302.

It is a super-2 number, since 2×203132623251042 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20313262325104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 843877389 + ... + 843901459.

It is an arithmetic number, because the mean of its divisors is an integer number (286347127968).

Almost surely, 220313262325104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313262325104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22907770237440).

20313262325104 is an abundant number, since it is smaller than the sum of its proper divisors (25502278149776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20313262325104 is a wasteful number, since it uses less digits than its factorization.

20313262325104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24839 (or 24833 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 20313262325104 its reverse (40152326231302), we get a palindrome (60465588556406).

The spelling of 20313262325104 in words is "twenty trillion, three hundred thirteen billion, two hundred sixty-two million, three hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 131 226 262 452 509 524 791 904 917 1018 1048 1582 1808 1834 2036 2096 3164 3563 3668 4072 6328 7126 7336 8144 12656 14252 14672 14803 24071 28504 29606 48142 57008 57517 59212 66679 96284 103621 115034 118424 133358 168497 192568 207242 230068 236848 266716 336994 385136 402619 414484 460136 466753 533432 673988 805238 828968 920272 933506 1066864 1347976 1610476 1657936 1867012 2695952 2720023 3153301 3220952 3734024 5440046 6306602 6441904 7468048 7534727 10880092 12252139 12613204 15069454 19040161 21760184 22073107 24504278 25226408 30138908 38080322 43520368 44146214 49008556 50452816 52743089 60277816 76160644 85764973 88292428 98017112 105486178 120555632 152321288 171529946 176584856 196034224 210972356 304642576 343059892 353169712 356323013 421944712 686119784 712646026 843889424 1372239568 1384491707 1425292052 1605030209 2494261091 2768983414 2850584104 3210060418 4988522182 5537966828 5701168208 6420120836 9691441949 9977044364 11075933656 11235211463 12840241672 19382883898 19954088728 22151867312 22470422926 25680483344 38765767796 39908177456 44940845852 77531535592 89881691704 155063071184 179763383408 181368413617 362736827234 725473654468 1269578895319 1450947308936 2539157790638 2901894617872 5078315581276 10156631162552 20313262325104