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137047714704 = 243219110345413
BaseRepresentation
bin111111110100010101…
…1100010101110010000
3111002202002110020200100
41333220223202232100
54221133203332304
6142543040052400
712621112232355
oct1775053425620
9432662406610
10137047714704
115313795353a
1222689004100
13cc01045914
1468c14c662c
153871955439
hex1fe8ae2b90

137047714704 has 120 divisors (see below), whose sum is σ = 404104671360. Its totient is φ = 43238036736.

The previous prime is 137047714697. The next prime is 137047714747. The reversal of 137047714704 is 407417740731.

137047714704 is a `hidden beast` number, since 1 + 3 + 70 + 47 + 71 + 470 + 4 = 666.

It is a super-2 number, since 2×1370477147042 (a number of 23 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 137047714704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995102 + ... + 3040514.

It is an arithmetic number, because the mean of its divisors is an integer number (3367538928).

Almost surely, 2137047714704 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 137047714704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202052335680).

137047714704 is an abundant number, since it is smaller than the sum of its proper divisors (267056956656).

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

137047714704 is a wasteful number, since it uses less digits than its factorization.

137047714704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46549 (or 46540 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 137047714704 in words is "one hundred thirty-seven billion, forty-seven million, seven hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1103 1368 2206 2736 3309 4412 6618 8824 9927 13236 17648 19854 20957 26472 39708 41914 45413 52944 62871 79416 83828 90826 125742 136239 158832 167656 181652 188613 251484 272478 335312 363304 377226 408717 502968 544956 726608 754452 817434 862847 1005936 1089912 1508904 1634868 1725694 2179824 2588541 3017808 3269736 3451388 5177082 6539472 6902776 7765623 10354164 13805552 15531246 20708328 31062492 41416656 50090539 62124984 100181078 124249968 150271617 200362156 300543234 400724312 450814851 601086468 801448624 901629702 951720241 1202172936 1803259404 1903440482 2404345872 2855160723 3606518808 3806880964 5710321446 7213037616 7613761928 8565482169 11420642892 15227523856 17130964338 22841285784 34261928676 45682571568 68523857352 137047714704