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616100000940 = 223253422777783
BaseRepresentation
bin10001111011100100110…
…10111111010010101100
32011220021001211211210100
420331302122333102230
540043233100012230
61151011001111100
762340350413164
oct10756232772254
92156231754710
10616100000940
112183174305a6
129b4a2788490
1346137357798
1421b686075a4
151105d518660
hex8f726bf4ac

616100000940 has 36 divisors (see below), whose sum is σ = 1868836670064. Its totient is φ = 164293333536.

The previous prime is 616100000939. The next prime is 616100000953. The reversal of 616100000940 is 49000001616.

616100000940 is a `hidden beast` number, since 6 + 1 + 610 + 0 + 0 + 0 + 0 + 9 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6161000009402 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1711388712 + ... + 1711389071.

It is an arithmetic number, because the mean of its divisors is an integer number (51912129724).

Almost surely, 2616100000940 is an apocalyptic number.

616100000940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616100000940 is an abundant number, since it is smaller than the sum of its proper divisors (1252736669124).

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

616100000940 is a wasteful number, since it uses less digits than its factorization.

616100000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422777798 (or 3422777793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 616100000940 in words is "six hundred sixteen billion, one hundred million, nine hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3422777783 6845555566 10268333349 13691111132 17113888915 20536666698 30805000047 34227777830 41073333396 51341666745 61610000094 68455555660 102683333490 123220000188 154025000235 205366666980 308050000470 616100000940