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83397579901012 = 221321733389210421
BaseRepresentation
bin10010111101100110000011…
…001000000000100001010100
3101221021201201201211220101001
4102331212003020000201110
541412341220423313022
6453212152545113044
723365163526561316
oct2275460310004124
9357251651756331
1083397579901012
1124633795758003
12942b014928784
13376c4867c8300
14168467047b7b6
1599956837eb27
hex4bd983200854

83397579901012 has 72 divisors (see below), whose sum is σ = 158997106298520. Its totient is φ = 38257224445440.

The previous prime is 83397579901003. The next prime is 83397579901037. The reversal of 83397579901012 is 21010997579338.

It can be written as a sum of positive squares in 12 ways, for example, as 127501841476 + 83270078059536 = 357074^2 + 9125244^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396231562 + ... + 396441982.

It is an arithmetic number, because the mean of its divisors is an integer number (2208293143035).

Almost surely, 283397579901012 is an apocalyptic number.

It is an amenable number.

83397579901012 is a deficient number, since it is larger than the sum of its proper divisors (75599526397508).

83397579901012 is a wasteful number, since it uses less digits than its factorization.

83397579901012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214013 (or 213998 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 64.

The spelling of 83397579901012 in words is "eighty-three trillion, three hundred ninety-seven billion, five hundred seventy-nine million, nine hundred one thousand, twelve".

Divisors: 1 2 4 13 26 52 169 173 338 346 676 692 2249 3389 4498 6778 8996 13556 29237 44057 58474 88114 116948 176228 210421 420842 572741 586297 841684 1145482 1172594 2290964 2345188 2735473 5470946 7621861 10941892 15243722 30487444 35561149 36402833 71122298 72805666 99084193 142244596 145611332 198168386 396336772 473236829 713116769 946473658 1426233538 1892947316 2852467076 6152078777 9270517997 12304157554 18541035994 24608315108 37082071988 120516733961 123369201037 241033467922 246738402074 482066935844 493476804148 1603799613481 3207599226962 6415198453924 20849394975253 41698789950506 83397579901012