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13673445032 = 23131731317787
BaseRepresentation
bin11001011110000000…
…00011011010101000
31022021220222222101002
430233000003122220
5211000400220112
610140445214132
7662561236142
oct145700033250
938256888332
1013673445032
1158873376a5
122797261348
13139ba741a0
14939d8dc92
1555062b1c2
hex32f0036a8

13673445032 has 128 divisors (see below), whose sum is σ = 30310640640. Its totient is φ = 5722583040.

The previous prime is 13673445029. The next prime is 13673445041. The reversal of 13673445032 is 23054437631.

It is a super-3 number, since 3×136734450323 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17373743 + ... + 17374529.

It is an arithmetic number, because the mean of its divisors is an integer number (236801880).

Almost surely, 213673445032 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 13673445032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15155320320).

13673445032 is an abundant number, since it is smaller than the sum of its proper divisors (16637195608).

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

13673445032 is a wasteful number, since it uses less digits than its factorization.

13673445032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 13673445032 in words is "thirteen billion, six hundred seventy-three million, four hundred forty-five thousand, thirty-two".

Divisors: 1 2 4 8 13 17 26 31 34 52 62 68 104 124 136 221 248 317 403 442 527 634 787 806 884 1054 1268 1574 1612 1768 2108 2536 3148 3224 4121 4216 5389 6296 6851 8242 9827 10231 10778 13379 13702 16484 19654 20462 21556 24397 26758 27404 32968 39308 40924 43112 48794 53516 54808 70057 78616 81848 97588 107032 127751 140114 167059 173927 195176 249479 255502 280228 317161 334118 347854 414749 498958 511004 560456 634322 668236 695708 829498 997916 1022008 1268644 1336472 1391416 1658996 1995832 2171767 2537288 3243227 3317992 4241143 4343534 5391737 6486454 7733849 8482286 8687068 10783474 12972908 15467698 16964572 17374136 21566948 25945816 30935396 33929144 43133896 55134859 61870792 100540037 110269718 131475433 201080074 220539436 262950866 402160148 441078872 525901732 804320296 1051803464 1709180629 3418361258 6836722516 13673445032