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83106427365752 = 23717449194424649
BaseRepresentation
bin10010111001010110111001…
…000101001110100101111000
3101220020220012210222122121012
4102321112321011032211320
541343103430401201002
6452430322103533052
723335145513060540
oct2271267105164570
9356226183878535
1083106427365752
1124531268738a3a
1293a26ba45a188
13374ab96970b4b
1416745303a6320
15991bc77bbd52
hex4b95b914e978

83106427365752 has 64 divisors (see below), whose sum is σ = 188980759800000. Its totient is φ = 33447261044736.

The previous prime is 83106427365683. The next prime is 83106427365761. The reversal of 83106427365752 is 25756372460138.

It is a junction number, because it is equal to n+sod(n) for n = 83106427365691 and 83106427365700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96784877 + ... + 97639772.

It is an arithmetic number, because the mean of its divisors is an integer number (2952824371875).

Almost surely, 283106427365752 is an apocalyptic number.

It is an amenable number.

83106427365752 is an abundant number, since it is smaller than the sum of its proper divisors (105874332434248).

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

83106427365752 is a wasteful number, since it uses less digits than its factorization.

83106427365752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194425128 (or 194425124 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 59.

The spelling of 83106427365752 in words is "eighty-three trillion, one hundred six billion, four hundred twenty-seven million, three hundred sixty-five thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 449 476 898 952 1796 3143 3592 6286 7633 12572 15266 25144 30532 53431 61064 106862 213724 427448 194424649 388849298 777698596 1360972543 1555397192 2721945086 3305219033 5443890172 6610438066 10887780344 13220876132 23136533231 26441752264 46273066462 87296667401 92546132924 174593334802 185092265848 349186669604 611076671807 698373339208 1222153343614 1484043345817 2444306687228 2968086691634 4888613374456 5936173383268 10388303420719 11872346766536 20776606841438 41553213682876 83106427365752