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1985963652 = 2232160134457
BaseRepresentation
bin111011001011111…
…0110011010000100
312010101221101222100
41312113312122010
513031401314102
6525022032100
7100133261331
oct16627663204
95111841870
101985963652
1192a02a982
12475118630
132585a152a
1414ba83988
15b953da1c
hex765f6684

1985963652 has 36 divisors (see below), whose sum is σ = 5023356156. Its totient is φ = 661555200.

The previous prime is 1985963621. The next prime is 1985963671. The reversal of 1985963652 is 2563695891.

It is a happy number.

1985963652 is a `hidden beast` number, since 19 + 8 + 596 + 36 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1754436996 + 231526656 = 41886^2 + 15216^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 40408 + ... + 74864.

It is an arithmetic number, because the mean of its divisors is an integer number (139537671).

Almost surely, 21985963652 is an apocalyptic number.

1985963652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1985963652 is an abundant number, since it is smaller than the sum of its proper divisors (3037392504).

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

1985963652 is a wasteful number, since it uses less digits than its factorization.

1985963652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36068 (or 36063 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The square root of 1985963652 is about 44564.1520956026. The cubic root of 1985963652 is about 1256.9666792640.

The spelling of 1985963652 in words is "one billion, nine hundred eighty-five million, nine hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1601 3202 4803 6404 9606 14409 19212 28818 34457 57636 68914 103371 137828 206742 310113 413484 620226 1240452 55165657 110331314 165496971 220662628 330993942 496490913 661987884 992981826 1985963652