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10625406475632 = 2431346358762653
BaseRepresentation
bin1001101010011110101110…
…0101000001110101110000
31101121210000211211222212120
42122213223211001311300
52343041313024210012
634333124440154240
72144442322565664
oct232475345016560
941553024758776
1010625406475632
113427233a51813
121237337168980
135c0c825ba160
1428a3b57288a4
151365d04c558c
hex9a9eb941d70

10625406475632 has 160 divisors (see below), whose sum is σ = 29675211998208. Its totient is φ = 3256685042688.

The previous prime is 10625406475603. The next prime is 10625406475699. The reversal of 10625406475632 is 23657460452601.

10625406475632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106254064756322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169560018 + ... + 169622670.

Almost surely, 210625406475632 is an apocalyptic number.

10625406475632 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 10625406475632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14837605999104).

10625406475632 is an abundant number, since it is smaller than the sum of its proper divisors (19049805522576).

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

10625406475632 is a wasteful number, since it uses less digits than its factorization.

10625406475632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63727 (or 63721 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 10625406475632 in words is "ten trillion, six hundred twenty-five billion, four hundred six million, four hundred seventy-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 463 587 624 926 1174 1389 1761 1852 2348 2778 3522 3704 4696 5556 6019 7044 7408 7631 9392 11112 12038 14088 15262 18057 22224 22893 24076 28176 30524 36114 45786 48152 61048 62653 72228 91572 96304 122096 125306 144456 183144 187959 250612 271781 288912 366288 375918 501224 543562 751836 814489 815343 1002448 1087124 1503672 1628978 1630686 2174248 2443467 3007344 3257956 3261372 3533153 4348496 4886934 6515912 6522744 7066306 9773868 10599459 13031824 13045488 14132612 19547736 21198918 28265224 29008339 36777311 39095472 42397836 56530448 58016678 73554622 84795672 87025017 110331933 116033356 147109244 169591344 174050034 220663866 232066712 294218488 348100068 377108407 441327732 464133424 478105043 588436976 696200136 754216814 882655464 956210086 1131325221 1392400272 1434315129 1508433628 1765310928 1912420172 2262650442 2868630258 3016867256 3824840344 4525300884 5737260516 6033734512 7649680688 9050601768 11474521032 17027894993 18101203536 22949042064 34055789986 51083684979 68111579972 102167369958 136223159944 204334739916 221362634909 272446319888 408669479832 442725269818 664087904727 817338959664 885450539636 1328175809454 1770901079272 2656351618908 3541802158544 5312703237816 10625406475632