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83078954016 = 2531201720571
BaseRepresentation
bin100110101011111100…
…1000011110000100000
321221102220201010212220
41031113321003300200
52330121203012031
6102055502151040
76000526312632
oct1152771036040
9257386633786
1083078954016
11322629a3883
1214126b82480
137aacca15b6
144041a54a52
15226395b596
hex1357e43c20

83078954016 has 48 divisors (see below), whose sum is σ = 218264141088. Its totient is φ = 27669888000.

The previous prime is 83078954009. The next prime is 83078954033. The reversal of 83078954016 is 61045987038.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×830789540162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83078954016.

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 7 ways as a sum of consecutive naturals, for example, 244990 + ... + 475581.

It is an arithmetic number, because the mean of its divisors is an integer number (4547169606).

Almost surely, 283078954016 is an apocalyptic number.

It is an amenable number.

83078954016 is an abundant number, since it is smaller than the sum of its proper divisors (135185187072).

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

83078954016 is a wasteful number, since it uses less digits than its factorization.

83078954016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721785 (or 721777 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 83078954016 in words is "eighty-three billion, seventy-eight million, nine hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1201 2402 3603 4804 7206 9608 14412 19216 28824 38432 57648 115296 720571 1441142 2161713 2882284 4323426 5764568 8646852 11529136 17293704 23058272 34587408 69174816 865405771 1730811542 2596217313 3461623084 5192434626 6923246168 10384869252 13846492336 20769738504 27692984672 41539477008 83078954016