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20397607009640 = 2357237013451637
BaseRepresentation
bin1001010001101001100000…
…00111101011110101101000
32200012222210022012100222222
410220310300013223311220
510133143244343302030
6111214310432133212
74203451500602420
oct450646007536550
980188708170888
1020397607009640
116554638435353
122355239397208
13b4c641c1bb43
1450736c6a7480
152558c66403e5
hex128d301ebd68

20397607009640 has 128 divisors (see below), whose sum is σ = 54739392744960. Its totient is φ = 6688432886784.

The previous prime is 20397607009589. The next prime is 20397607009649. The reversal of 20397607009640 is 4690070679302.

It is a Cunningham number, because it is equal to 45163712-1.

It is not an unprimeable number, because it can be changed into a prime (20397607009649) 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, 44937902 + ... + 45389538.

It is an arithmetic number, because the mean of its divisors is an integer number (427651505820).

Almost surely, 220397607009640 is an apocalyptic number.

20397607009640 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 20397607009640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369696372480).

20397607009640 is an abundant number, since it is smaller than the sum of its proper divisors (34341785735320).

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

20397607009640 is a wasteful number, since it uses less digits than its factorization.

20397607009640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458691 (or 458687 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 53.

The spelling of 20397607009640 in words is "twenty trillion, three hundred ninety-seven billion, six hundred seven million, nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 7013 14026 28052 35065 49091 56104 70130 98182 140260 161299 196364 245455 280520 322598 392728 451637 490910 645196 806495 903274 981820 1129093 1290392 1612990 1806548 1963640 2258185 2258186 3161459 3225980 3613096 4516370 4516372 5645465 6322918 6451960 9032740 9032744 10387651 11290930 12645836 15807295 18065480 20775302 22581860 25291672 31614590 41550604 45163720 51938255 63229180 72713557 83101208 103876510 126458360 145427114 207753020 290854228 363567785 415506040 581708456 727135570 1454271140 2908542280 3167330281 6334660562 12669321124 15836651405 22171311967 25338642248 31673302810 44342623934 63346605620 72848596463 88685247868 110856559835 126693211240 145697192926 177370495736 221713119670 291394385852 364242982315 443426239340 509940175241 582788771704 728485964630 886852478680 1019880350482 1456971929260 2039760700964 2549700876205 2913943858520 4079521401928 5099401752410 10198803504820 20397607009640