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20264274160 = 24513149251521
BaseRepresentation
bin10010110111110110…
…000100100011110000
31221022020210210020121
4102313312010203300
5313000123233120
613150445420024
71315111326334
oct226766044360
957266723217
1020264274160
118659722119
123b1656a614
131bac377490
14da34397c4
157d906e5aa
hex4b7d848f0

20264274160 has 160 divisors (see below), whose sum is σ = 51381086400. Its totient is φ = 7388160000.

The previous prime is 20264274139. The next prime is 20264274161. The reversal of 20264274160 is 6147246202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20264274161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38894700 + ... + 38895220.

It is an arithmetic number, because the mean of its divisors is an integer number (321131790).

Almost surely, 220264274160 is an apocalyptic number.

20264274160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20264274160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690543200).

20264274160 is an abundant number, since it is smaller than the sum of its proper divisors (31116812240).

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

20264274160 is a wasteful number, since it uses less digits than its factorization.

20264274160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 20264274160 in words is "twenty billion, two hundred sixty-four million, two hundred seventy-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 208 251 260 298 502 520 521 596 745 1004 1040 1042 1192 1255 1490 1937 2008 2084 2384 2510 2605 2980 3263 3874 4016 4168 5020 5210 5960 6526 6773 7748 8336 9685 10040 10420 11920 13052 13546 15496 16315 19370 20080 20840 26104 27092 30992 32630 33865 37399 38740 41680 52208 54184 65260 67730 74798 77480 77629 108368 130520 130771 135460 149596 154960 155258 186995 261040 261542 270920 299192 310516 373990 388145 486187 523084 541840 598384 621032 653855 747980 776290 972374 1009177 1046168 1242064 1307710 1495960 1552580 1700023 1944748 2018354 2092336 2430935 2615420 2991920 3105160 3400046 3889496 4036708 4861870 5045885 5230840 6210320 6800092 7778992 8073416 8500115 9723740 10091770 10461680 13600184 16146832 17000230 19447480 19484879 20183540 27200368 34000460 38894960 38969758 40367080 68000920 77939516 80734160 97424395 136001840 155879032 194848790 253303427 311758064 389697580 506606854 779395160 1013213708 1266517135 1558790320 2026427416 2533034270 4052854832 5066068540 10132137080 20264274160