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31867373890016 = 2572531303294293
BaseRepresentation
bin1110011111011101100111…
…00000000010100111100000
311011211111021002010011011122
413033232303200002213200
513134103340203440031
6151435400334231412
76466225142511500
oct717566340024740
9134744232104148
1031867373890016
11a176971864485
1236a813b055568
1314a2107a16662
147c2563a93a00
153a3e2460647b
hex1cfbb38029e0

31867373890016 has 144 divisors (see below), whose sum is σ = 74416315637664. Its totient is φ = 13389429021696.

The previous prime is 31867373890013. The next prime is 31867373890031. The reversal of 31867373890016 is 61009837376813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31867373890013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108137366 + ... + 108431658.

It is an arithmetic number, because the mean of its divisors is an integer number (516779969706).

Almost surely, 231867373890016 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 31867373890016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37208157818832).

31867373890016 is an abundant number, since it is smaller than the sum of its proper divisors (42548941747648).

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

31867373890016 is a wasteful number, since it uses less digits than its factorization.

31867373890016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295673 (or 295658 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 62.

The spelling of 31867373890016 in words is "thirty-one trillion, eight hundred sixty-seven billion, three hundred seventy-three million, eight hundred ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 371 392 424 742 784 848 1303 1484 1568 1696 2597 2606 2968 5194 5212 5936 9121 10388 10424 11872 18242 20776 20848 36484 41552 41696 63847 69059 72968 83104 127694 138118 145936 255388 276236 291872 294293 483413 510776 552472 588586 966826 1021552 1104944 1177172 1933652 2043104 2060051 2209888 2354344 3383891 3867304 4120102 4708688 6767782 7734608 8240204 9417376 13535564 14420357 15469216 15597529 16480408 27071128 28840714 31195058 32960816 54142256 57681428 62390116 65921632 108284512 109182703 115362856 124780232 218365406 230725712 249560464 383463779 436730812 461451424 499120928 764278921 766927558 873461624 1528557842 1533855116 1746923248 2684246453 3057115684 3067710232 3493846496 5368492906 6114231368 6135420464 10736985812 12228462736 12270840928 18789725171 20323580287 21473971624 24456925472 37579450342 40647160574 42947943248 75158900684 81294321148 85895886496 142265062009 150317801368 162588642296 284530124018 300635602736 325177284592 569060248036 601271205472 650354569184 995855434063 1138120496072 1991710868126 2276240992144 3983421736252 4552481984288 7966843472504 15933686945008 31867373890016