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10249922669376 = 2631323178545197
BaseRepresentation
bin1001010100100111111011…
…1111111110101101000000
31100021212211201211022021110
42111021332333332231000
52320413320200410001
633444425515123320
72105350432106325
oct225117677765500
940255751738243
1010249922669376
1132a1a7114a665
121196606443540
135947431b0040
14276155570b4c
1512b9560843d6
hex9527effeb40

10249922669376 has 112 divisors (see below), whose sum is σ = 30475522756224. Its totient is φ = 3016699631616.

The previous prime is 10249922669351. The next prime is 10249922669383. The reversal of 10249922669376 is 67396622994201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89215191 + ... + 89330006.

It is an arithmetic number, because the mean of its divisors is an integer number (272102881752).

Almost surely, 210249922669376 is an apocalyptic number.

10249922669376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10249922669376 is an abundant number, since it is smaller than the sum of its proper divisors (20225600086848).

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

10249922669376 is a wasteful number, since it uses less digits than its factorization.

10249922669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178545248 (or 178545238 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 10249922669376 in words is "ten trillion, two hundred forty-nine billion, nine hundred twenty-two million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2208 2392 2496 3588 4416 4784 7176 9568 14352 19136 28704 57408 178545197 357090394 535635591 714180788 1071271182 1428361576 2142542364 2321087561 2856723152 4106539531 4285084728 4642175122 5713446304 6963262683 8213079062 8570169456 9284350244 11426892608 12319618593 13926525366 16426158124 17140338912 18568700488 24639237186 27853050732 32852316248 34280677824 37137400976 49278474372 53385013903 55706101464 65704632496 74274801952 98556948744 106770027806 111412202928 131409264992 148549603904 160155041709 197113897488 213540055612 222824405856 262818529984 320310083418 394227794976 427080111224 445648811712 640620166836 788455589952 854160222448 1281240333672 1708320444896 2562480667344 3416640889792 5124961334688 10249922669376