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10625101359144 = 23316735911876221
BaseRepresentation
bin1001101010011101100101…
…1001000110100000101000
31101121202020120201110201220
42122213121121012200220
52343040201421443034
634333034300342040
72144431626256356
oct232473131064050
941552216643656
1010625101359144
1134270977a3228
121237270b44920
135c0c3431a55c
1428a386dc27d6
151365b3805749
hex9a9d9646828

10625101359144 has 128 divisors (see below), whose sum is σ = 26823131596800. Its totient is φ = 3507164814080.

The previous prime is 10625101359139. The next prime is 10625101359179. The reversal of 10625101359144 is 44195310152601.

It is a super-2 number, since 2×106251013591442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10625101359096 and 10625101359105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707937954 + ... + 1707944174.

It is an arithmetic number, because the mean of its divisors is an integer number (209555715600).

Almost surely, 210625101359144 is an apocalyptic number.

It is an amenable number.

10625101359144 is an abundant number, since it is smaller than the sum of its proper divisors (16198030237656).

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

10625101359144 is a wasteful number, since it uses less digits than its factorization.

10625101359144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7943 (or 7939 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 10625101359144 in words is "ten trillion, six hundred twenty-five billion, one hundred one million, three hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 167 334 359 501 668 718 1002 1077 1187 1336 1436 2004 2154 2374 2872 3561 4008 4308 4748 6221 7122 8616 9496 12442 14244 18663 24884 28488 37326 49768 59953 74652 119906 149304 179859 198229 239812 359718 396458 426133 479624 594687 719436 792916 852266 1038907 1189374 1278399 1438872 1585832 1704532 2077814 2233339 2378748 2556798 3116721 3409064 4155628 4466678 4757496 5113596 6233442 6700017 7384327 8311256 8933356 10227192 12466884 13400034 14768654 17866712 22152981 24933768 26800068 29537308 44305962 53600136 59074616 71164211 88611924 142328422 177223848 213492633 284656844 372967613 426985266 569313688 745935226 853970532 1118902839 1233182609 1491870452 1707941064 2237805678 2466365218 2650973393 2983740904 3699547827 4475611356 4932730436 5301946786 7399095654 7952920179 8951222712 9865460872 10603893572 14798191308 15905840358 21207787144 29596382616 31811680716 63623361432 442712556631 885425113262 1328137669893 1770850226524 2656275339786 3541700453048 5312550679572 10625101359144