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83350016676 = 22324161925741
BaseRepresentation
bin100110110100000001…
…1000101001010100100
321222010210202112221200
41031220003011022210
52331200101013201
6102142424042500
76010330311033
oct1155003051244
9258123675850
1083350016676
1132391a03203
12141a1903430
137b241a9cc4
144069a5471a
15227c651386
hex13680c52a4

83350016676 has 72 divisors (see below), whose sum is σ = 219367527288. Its totient is φ = 26661312000.

The previous prime is 83350016611. The next prime is 83350016681. The reversal of 83350016676 is 67661005338.

83350016676 is a `hidden beast` number, since 83 + 3 + 500 + 1 + 6 + 67 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419840100 + 82930176576 = 20490^2 + 287976^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372835 + ... + 552906.

Almost surely, 283350016676 is an apocalyptic number.

It is an amenable number.

83350016676 is an abundant number, since it is smaller than the sum of its proper divisors (136017510612).

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

83350016676 is a wasteful number, since it uses less digits than its factorization.

83350016676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925853 (or 925848 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 83350016676 in words is "eighty-three billion, three hundred fifty million, sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 61 82 122 123 164 183 244 246 366 369 492 549 732 738 1098 1476 2196 2501 5002 7503 10004 15006 22509 30012 45018 90036 925741 1851482 2777223 3702964 5554446 8331669 11108892 16663338 33326676 37955381 56470201 75910762 112940402 113866143 151821524 169410603 225880804 227732286 338821206 341598429 455464572 508231809 677642412 683196858 1016463618 1366393716 2032927236 2315278241 4630556482 6945834723 9261112964 13891669446 20837504169 27783338892 41675008338 83350016676