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83406616102264 = 23713148177359573
BaseRepresentation
bin10010111101101110011101…
…101110011000010101111000
3101221022121001111001111011111
4102331232131232120111320
541413013222210233024
6453220245342210104
723365633462166350
oct2275563556302570
9357277044044144
1083406616102264
1124637602424824
129430916b83934
133770296912060
141684c8a5d7b60
159998e680ca94
hex4bdb9db98578

83406616102264 has 64 divisors (see below), whose sum is σ = 192606772962240. Its totient is φ = 32973743969280.

The previous prime is 83406616102217. The next prime is 83406616102319. The reversal of 83406616102264 is 46220161660438.

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, 37601619 + ... + 39757954.

It is an arithmetic number, because the mean of its divisors is an integer number (3009480827535).

Almost surely, 283406616102264 is an apocalyptic number.

It is an amenable number.

83406616102264 is an abundant number, since it is smaller than the sum of its proper divisors (109200156859976).

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

83406616102264 is a wasteful number, since it uses less digits than its factorization.

83406616102264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77361080 (or 77361076 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

The spelling of 83406616102264 in words is "eighty-three trillion, four hundred six billion, six hundred sixteen million, one hundred two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1481 2962 5924 10367 11848 19253 20734 38506 41468 77012 82936 134771 154024 269542 539084 1078168 77359573 154719146 309438292 541517011 618876584 1005674449 1083034022 2011348898 2166068044 4022697796 4332136088 7039721143 8045395592 14079442286 28158884572 56317769144 114569527613 229139055226 458278110452 801986693291 916556220904 1489403858969 1603973386582 2978807717938 3207946773164 5957615435876 6415893546328 10425827012783 11915230871752 20851654025566 41703308051132 83406616102264