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642859505958246 = 232948176793112909
BaseRepresentation
bin1001001000101011010110010…
…0011111100011110101100110
310010022011202202021202122211220
42102022311210133203311212
51133230102232011130441
610155125325141241210
7252260031563041563
oct22212654437436546
93108152667678756
10642859505958246
11176920204889785
126012658ba03206
13217925118951a5
14b4a67cd56b86a
154e4c3b736e466
hex248ad647e3d66

642859505958246 has 64 divisors (see below), whose sum is σ = 1330537889419200. Its totient is φ = 206822077894656.

The previous prime is 642859505958221. The next prime is 642859505958277.

642859505958246 is nontrivially palindromic in base 10.

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, 5693550840 + ... + 5693663748.

It is an arithmetic number, because the mean of its divisors is an integer number (20789654522175).

Almost surely, 2642859505958246 is an apocalyptic number.

642859505958246 is an abundant number, since it is smaller than the sum of its proper divisors (687678383460954).

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

642859505958246 is a wasteful number, since it uses less digits than its factorization.

642859505958246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124553.

The product of its (nonzero) digits is 7464960000, while the sum is 78.

The spelling of 642859505958246 in words is "six hundred forty-two trillion, eight hundred fifty-nine billion, five hundred five million, nine hundred fifty-eight thousand, two hundred forty-six".

Divisors: 1 2 3 6 29 58 87 174 4817 6793 9634 13586 14451 20379 28902 40758 112909 139693 196997 225818 279386 338727 393994 419079 590991 677454 838158 1181982 3274361 6548722 9823083 19646166 32721881 65443762 98165643 196331286 543882653 766990837 948934549 1087765306 1533981674 1631647959 1897869098 2300972511 2846803647 3263295918 4601945022 5693607294 15772596937 22242734273 31545193874 44485468546 47317790811 66728202819 94635581622 133456405638 3694594861829 7389189723658 11083784585487 22167569170974 107143250993041 214286501986082 321429752979123 642859505958246