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10039925376 = 27341374489
BaseRepresentation
bin10010101100110110…
…10001101010000000
3221220200220001110000
421112123101222000
5131030210103001
64340130240000
7503540646315
oct112633215200
927820801400
1010039925376
114292304598
121b42426000
13c40059060
146b3596d0c
153db647a86
hex2566d1a80

10039925376 has 160 divisors (see below), whose sum is σ = 32177445300. Its totient is φ = 3089166336.

The previous prime is 10039925359. The next prime is 10039925383. The reversal of 10039925376 is 67352993001.

10039925376 is a `hidden beast` number, since 1 + 0 + 0 + 399 + 253 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9915379776 + 124545600 = 99576^2 + 11160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97540 + ... + 172028.

Almost surely, 210039925376 is an apocalyptic number.

10039925376 is a gapful number since it is divisible by the number (16) 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 10039925376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16088722650).

10039925376 is an abundant number, since it is smaller than the sum of its proper divisors (22137519924).

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

10039925376 is an equidigital number, since it uses as much as digits as its factorization.

10039925376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74528 (or 74507 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 10039925376 in words is "ten billion, thirty-nine million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 128 144 156 162 192 208 216 234 288 312 324 351 384 416 432 468 576 624 648 702 832 864 936 1053 1152 1248 1296 1404 1664 1728 1872 2106 2496 2592 2808 3456 3744 4212 4992 5184 5616 7488 8424 10368 11232 14976 16848 22464 33696 44928 67392 74489 134784 148978 223467 297956 446934 595912 670401 893868 968357 1191824 1340802 1787736 1936714 2011203 2383648 2681604 2905071 3575472 3873428 4022406 4767296 5363208 5810142 6033609 7150944 7746856 8044812 8715213 9534592 10726416 11620284 12067218 14301888 15493712 16089624 17430426 21452832 23240568 24134436 26145639 28603776 30987424 32179248 34860852 42905664 46481136 48268872 52291278 61974848 64358496 69721704 78436917 85811328 92962272 96537744 104582556 123949696 128716992 139443408 156873834 185924544 193075488 209165112 257433984 278886816 313747668 371849088 386150976 418330224 557773632 627495336 772301952 836660448 1115547264 1254990672 1673320896 2509981344 3346641792 5019962688 10039925376