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10156123207048 = 2372132344944449
BaseRepresentation
bin1001001111001010100000…
…0111011011010110001000
31022221220201200120220200011
42103302220013123112020
52312344220020111143
633333354131121304
72065520125613200
oct223625007332610
938856650526604
1010156123207048
113266207865265
1211803a9143234
13588945181300
142717b7c01400
151292b6395e9d
hex93ca81db588

10156123207048 has 144 divisors (see below), whose sum is σ = 23994298912500. Its totient is φ = 4016551698432.

The previous prime is 10156123207033. The next prime is 10156123207081. The reversal of 10156123207048 is 84070232165101.

It can be written as a sum of positive squares in 6 ways, for example, as 574015339044 + 9582107868004 = 757638^2 + 3095498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10156123207048.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228467128 + ... + 228511576.

Almost surely, 210156123207048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10156123207048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11997149456250).

10156123207048 is an abundant number, since it is smaller than the sum of its proper divisors (13838175705452).

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

10156123207048 is a wasteful number, since it uses less digits than its factorization.

10156123207048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47944 (or 47920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 10156123207048 in words is "ten trillion, one hundred fifty-six billion, one hundred twenty-three million, two hundred seven thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 169 182 196 338 364 392 637 676 728 1183 1274 1352 2366 2548 3449 4732 5096 6898 8281 9464 13796 16562 24143 27592 33124 44449 44837 48286 66248 88898 89674 96572 169001 177796 179348 193144 311143 313859 338002 355592 358696 577837 582881 622286 627718 676004 1155674 1165762 1244572 1255436 1352008 2178001 2197013 2311348 2331524 2489144 2510872 4044859 4080167 4356002 4394026 4622696 4663048 7511881 8089718 8160334 8712004 8788052 15023762 16179436 16320668 17424008 17576104 28314013 28561169 30047524 32358872 32641336 52583167 56628026 57122338 60095048 105166334 113256052 114244676 153304601 210332668 226512104 228489352 306609202 368082169 420665336 613218404 736164338 1073132207 1226436808 1472328676 1992959813 2146264414 2944657352 3985919626 4292528828 7511925449 7971839252 8585057656 13950718691 15023850898 15943678504 25908477569 27901437382 30047701796 51816955138 55802874764 60095403592 97655030837 103633910276 111605749528 181359342983 195310061674 207267820552 362718685966 390620123348 725437371932 781240246696 1269515400881 1450874743864 2539030801762 5078061603524 10156123207048