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10673404032 = 273178918371
BaseRepresentation
bin10011111000010111…
…10011100010000000
31000112211220002210110
421330023303202000
5133324342412112
64523040031320
7525332303004
oct117413634200
930484802713
1010673404032
114587949475
12209a602540
1310113770b5
14733776704
1542707a13c
hex27c2f3880

10673404032 has 128 divisors (see below), whose sum is σ = 30357892800. Its totient is φ = 3310714880.

The previous prime is 10673404019. The next prime is 10673404037. The reversal of 10673404032 is 23040437601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×106734040322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10673404037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571807 + ... + 590177.

Almost surely, 210673404032 is an apocalyptic number.

10673404032 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 10673404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178946400).

10673404032 is an abundant number, since it is smaller than the sum of its proper divisors (19684488768).

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

10673404032 is a wasteful number, since it uses less digits than its factorization.

10673404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18494 (or 18482 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 10673404032 in words is "ten billion, six hundred seventy-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 89 96 102 128 136 178 192 204 267 272 356 384 408 534 544 712 816 1068 1088 1424 1513 1632 2136 2176 2848 3026 3264 4272 4539 5696 6052 6528 8544 9078 11392 12104 17088 18156 18371 24208 34176 36312 36742 48416 55113 72624 73484 96832 110226 145248 146968 193664 220452 290496 293936 312307 440904 580992 587872 624614 881808 936921 1175744 1249228 1635019 1763616 1873842 2351488 2498456 3270038 3527232 3747684 4905057 4996912 6540076 7054464 7495368 9810114 9993824 13080152 14990736 19620228 19987648 26160304 27795323 29981472 39240456 39975296 52320608 55590646 59962944 78480912 83385969 104641216 111181292 119925888 156961824 166771938 209282432 222362584 313923648 333543876 444725168 627847296 667087752 889450336 1334175504 1778900672 2668351008 3557801344 5336702016 10673404032