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102083801616 = 24321937311331
BaseRepresentation
bin101111100010010101…
…0110011001000010000
3100202111101200102200100
41133010222303020100
53133031423122431
6114521402052400
710242505665606
oct1370452631020
9322441612610
10102083801616
113a3257100a5
121794b7aa100
13981b448654
144d25ad1876
1529c71524e6
hex17c4ab3210

102083801616 has 60 divisors (see below), whose sum is σ = 300729335920. Its totient is φ = 32236989120.

The previous prime is 102083801563. The next prime is 102083801663. The reversal of 102083801616 is 616108380201.

102083801616 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 38 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×1020838016162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18652930 + ... + 18658401.

Almost surely, 2102083801616 is an apocalyptic number.

102083801616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102083801616 is an abundant number, since it is smaller than the sum of its proper divisors (198645534304).

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

102083801616 is a wasteful number, since it uses less digits than its factorization.

102083801616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37311364 (or 37311355 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 102083801616 in words is "one hundred two billion, eighty-three million, eight hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 37311331 74622662 111933993 149245324 223867986 298490648 335801979 447735972 596981296 671603958 708915289 895471944 1343207916 1417830578 1790943888 2126745867 2686415832 2835661156 4253491734 5372831664 5671322312 6380237601 8506983468 11342644624 12760475202 17013966936 25520950404 34027933872 51041900808 102083801616