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10104673432 = 2377314811669
BaseRepresentation
bin10010110100100100…
…10001010010011000
3222002012201121002011
421122102101102120
5131143244022212
64350402115304
7505255210210
oct113222212230
928065647064
1010104673432
114315908787
121b6004bb34
13c505a9209
146bc00d240
153e21874a7
hex25a491498

10104673432 has 64 divisors (see below), whose sum is σ = 21977467200. Its totient is φ = 4265809920.

The previous prime is 10104673429. The next prime is 10104673433. The reversal of 10104673432 is 23437640101.

It is a junction number, because it is equal to n+sod(n) for n = 10104673394 and 10104673403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104673433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6053494 + ... + 6055162.

It is an arithmetic number, because the mean of its divisors is an integer number (343397925).

Almost surely, 210104673432 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 10104673432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10988733600).

10104673432 is an abundant number, since it is smaller than the sum of its proper divisors (11872793768).

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

10104673432 is a wasteful number, since it uses less digits than its factorization.

10104673432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 10104673432 in words is "ten billion, one hundred four million, six hundred seventy-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 1481 1669 2044 2962 3338 4088 5924 6676 10367 11683 11848 13352 20734 23366 41468 46732 82936 93464 108113 121837 216226 243674 432452 487348 756791 852859 864904 974696 1513582 1705718 2471789 3027164 3411436 4943578 6054328 6822872 9887156 17302523 19774312 34605046 69210092 138420184 180440597 360881194 721762388 1263084179 1443524776 2526168358 5052336716 10104673432