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157413105324 = 22333739392669
BaseRepresentation
bin1001001010011010001…
…1010101111010101100
3120001022101112021122000
42102212203111322230
510034340223332244
6200151541052300
714241562214136
oct2224643257254
9501271467560
10157413105324
1160838659982
12266113b7090
1311ac8334b07
147894124056
1541647ea169
hex24a68d5eac

157413105324 has 48 divisors (see below), whose sum is σ = 419138008800. Its totient is φ = 51052897728.

The previous prime is 157413105233. The next prime is 157413105337. The reversal of 157413105324 is 423501314751.

157413105324 is a `hidden beast` number, since 1 + 57 + 41 + 31 + 0 + 532 + 4 = 666.

157413105324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 19692339 + ... + 19700330.

It is an arithmetic number, because the mean of its divisors is an integer number (8732041850).

Almost surely, 2157413105324 is an apocalyptic number.

It is an amenable number.

157413105324 is an abundant number, since it is smaller than the sum of its proper divisors (261724903476).

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

157413105324 is a wasteful number, since it uses less digits than its factorization.

157413105324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39392719 (or 39392711 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 157413105324 in words is "one hundred fifty-seven billion, four hundred thirteen million, one hundred five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3996 39392669 78785338 118178007 157570676 236356014 354534021 472712028 709068042 1063602063 1418136084 1457528753 2127204126 2915057506 4254408252 4372586259 5830115012 8745172518 13117758777 17490345036 26235517554 39353276331 52471035108 78706552662 157413105324