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10023075792 = 2432236194889
BaseRepresentation
bin10010101010110101…
…11111111111010000
3221212112012000011100
421111122333333100
5131011401411132
64334325144400
7503244511212
oct112532777720
927775160140
1010023075792
114283846214
121b3885b100
13c397098a2
146b124c5b2
153d9e1a37c
hex2556bffd0

10023075792 has 120 divisors (see below), whose sum is σ = 29323569600. Its totient is φ = 3189947904.

The previous prime is 10023075739. The next prime is 10023075827. The reversal of 10023075792 is 29757032001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2047684 + ... + 2052572.

It is an arithmetic number, because the mean of its divisors is an integer number (244363080).

Almost surely, 210023075792 is an apocalyptic number.

10023075792 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 10023075792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661784800).

10023075792 is an abundant number, since it is smaller than the sum of its proper divisors (19300493808).

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

10023075792 is a wasteful number, since it uses less digits than its factorization.

10023075792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10023075792 in words is "ten billion, twenty-three million, seventy-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 619 828 1104 1238 1656 1857 2476 3312 3714 4889 4952 5571 7428 9778 9904 11142 14237 14667 14856 19556 22284 28474 29334 29712 39112 42711 44001 44568 56948 58668 78224 85422 88002 89136 112447 113896 117336 128133 170844 176004 224894 227792 234672 256266 337341 341688 352008 449788 512532 674682 683376 704016 899576 1012023 1025064 1349364 1799152 2024046 2050128 2698728 3026291 4048092 5397456 6052582 8096184 9078873 12105164 16192368 18157746 24210328 27236619 36315492 48420656 54473238 69604693 72630984 108946476 139209386 145261968 208814079 217892952 278418772 417628158 435785904 556837544 626442237 835256316 1113675088 1252884474 1670512632 2505768948 3341025264 5011537896 10023075792