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20124695097840 = 2435374674852879
BaseRepresentation
bin1001001001101101001010…
…10011010111000111110000
32122020220100121021210120210
410210312211103113013300
510114210333421112330
6110445053550504120
74144650463614114
oct444664523270760
978226317253523
1020124695097840
116459920807703
122310373805040
13b2c99b1037b8
144d807cd77744
1524d7521168b0
hex124da54d71f0

20124695097840 has 160 divisors (see below), whose sum is σ = 64209891732480. Its totient is φ = 5210360404992.

The previous prime is 20124695097839. The next prime is 20124695097841. The reversal of 20124695097840 is 4879059642102.

It is an interprime number because it is at equal distance from previous prime (20124695097839) and next prime (20124695097841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20124695097841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720521 + ... + 6573399.

It is an arithmetic number, because the mean of its divisors is an integer number (401311823328).

Almost surely, 220124695097840 is an apocalyptic number.

20124695097840 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 20124695097840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104945866240).

20124695097840 is an abundant number, since it is smaller than the sum of its proper divisors (44085196634640).

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

20124695097840 is a wasteful number, since it uses less digits than its factorization.

20124695097840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853399 (or 4853393 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 20124695097840 in words is "twenty trillion, one hundred twenty-four billion, six hundred ninety-five million, ninety-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 467 555 592 740 888 934 1110 1401 1480 1776 1868 2220 2335 2802 2960 3736 4440 4670 5604 7005 7472 8880 9340 11208 14010 17279 18680 22416 28020 34558 37360 51837 56040 69116 86395 103674 112080 138232 172790 207348 259185 276464 345580 414696 518370 691160 829392 1036740 1382320 2073480 4146960 4852879 9705758 14558637 19411516 24264395 29117274 38823032 48528790 58234548 72793185 77646064 97057580 116469096 145586370 179556523 194115160 232938192 291172740 359113046 388230320 538669569 582345480 718226092 897782615 1077339138 1164690960 1436452184 1795565230 2154678276 2266294493 2693347845 2872904368 3591130460 4309356552 4532588986 5386695690 6798883479 7182260920 8618713104 9065177972 10773391380 11331472465 13597766958 14364521840 18130355944 21546782760 22662944930 27195533916 33994417395 36260711888 43093565520 45325889860 54391067832 67988834790 83852896241 90651779720 108782135664 135977669580 167705792482 181303559440 251558688723 271955339160 335411584964 419264481205 503117377446 543910678320 670823169928 838528962410 1006234754892 1257793443615 1341646339856 1677057924820 2012469509784 2515586887230 3354115849640 4024939019568 5031173774460 6708231699280 10062347548920 20124695097840