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82524871936 = 2813137181001
BaseRepresentation
bin100110011011011011…
…1011001110100000000
321220000022002212011101
41030312313121310000
52323002331400221
6101524510224144
75651020560163
oct1146667316400
9256008085141
1082524871936
1131aa9158801
1213bb14b5054
137a22262090
143dcc221ada
15222eeadd91
hex1336dd9d00

82524871936 has 72 divisors (see below), whose sum is σ = 178694586504. Its totient is φ = 37810176000.

The previous prime is 82524871921. The next prime is 82524871987. The reversal of 82524871936 is 63917842528.

It can be written as a sum of positive squares in 4 ways, for example, as 22668313600 + 59856558336 = 150560^2 + 244656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 365436 + ... + 546436.

It is an arithmetic number, because the mean of its divisors is an integer number (2481869257).

Almost surely, 282524871936 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 82524871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89347293252).

82524871936 is an abundant number, since it is smaller than the sum of its proper divisors (96169714568).

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

82524871936 is a wasteful number, since it uses less digits than its factorization.

82524871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181167 (or 181153 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The spelling of 82524871936 in words is "eighty-two billion, five hundred twenty-four million, eight hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 208 256 274 416 548 832 1096 1664 1781 2192 3328 3562 4384 7124 8768 14248 17536 28496 35072 56992 113984 181001 227968 362002 455936 724004 1448008 2353013 2896016 4706026 5792032 9412052 11584064 18824104 23168128 24797137 37648208 46336256 49594274 75296416 99188548 150592832 198377096 301185664 322362781 396754192 602371328 644725562 793508384 1289451124 1587016768 2578902248 3174033536 5157804496 6348067072 10315608992 20631217984 41262435968 82524871936