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13780373832 = 2334371095273
BaseRepresentation
bin11001101010101111…
…11101000101001000
31022120101012112010000
430311113331011020
5211210233430312
610155225123000
7665330150001
oct146527750510
938511175100
1013780373832
115931730905
122807029460
1313b7c72674
1494a2661a8
15559bedadc
hex3355fd148

13780373832 has 160 divisors (see below), whose sum is σ = 40012255800. Its totient is φ = 4427467776.

The previous prime is 13780373759. The next prime is 13780373833. The reversal of 13780373832 is 23837308731.

It can be written as a sum of positive squares in 4 ways, for example, as 13718499876 + 61873956 = 117126^2 + 7866^2 .

It is not an unprimeable number, because it can be changed into a prime (13780373833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2610748 + ... + 2616020.

Almost surely, 213780373832 is an apocalyptic number.

13780373832 is a gapful number since it is divisible by the number (12) 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 13780373832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20006127900).

13780373832 is an abundant number, since it is smaller than the sum of its proper divisors (26231881968).

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

13780373832 is a wasteful number, since it uses less digits than its factorization.

13780373832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5437 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13780373832 in words is "thirteen billion, seven hundred eighty million, three hundred seventy-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 109 111 148 162 216 218 222 296 324 327 333 436 444 648 654 666 872 888 981 999 1308 1332 1962 1998 2616 2664 2943 2997 3924 3996 4033 5273 5886 5994 7848 7992 8066 8829 10546 11772 11988 12099 15819 16132 17658 21092 23544 23976 24198 31638 32264 35316 36297 42184 47457 48396 63276 70632 72594 94914 96792 108891 126552 142371 145188 189828 195101 217782 284742 290376 326673 379656 390202 427113 435564 569484 574757 585303 653346 780404 854226 871128 1138968 1149514 1170606 1306692 1560808 1708452 1724271 1755909 2299028 2341212 2613384 3416904 3448542 3511818 4598056 4682424 5172813 5267727 6897084 7023636 10345626 10535454 13794168 14047272 15518439 15803181 20691252 21070908 21266009 31036878 31606362 41382504 42141816 42532018 46555317 62073756 63212724 63798027 85064036 93110634 124147512 126425448 127596054 170128072 186221268 191394081 255192108 372442536 382788162 510384216 574182243 765576324 1148364486 1531152648 1722546729 2296728972 3445093458 4593457944 6890186916 13780373832