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37830308144 = 2443113486601
BaseRepresentation
bin100011001110110111…
…001011000100110000
310121122110101202210212
4203032313023010300
51104434024330034
625213510443252
72506320212366
oct431667130460
9117573352725
1037830308144
111505324a482
1273b9363528
13374b703225
141b8c37d636
15eb62a52ce
hex8cedcb130

37830308144 has 40 divisors (see below), whose sum is σ = 75664664592. Its totient is φ = 18311731200.

The previous prime is 37830308129. The next prime is 37830308179. The reversal of 37830308144 is 44180303873.

It is a super-2 number, since 2×378303081442 (a number of 22 digits) contains 22 as substring.

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, 165557 + ... + 321044.

Almost surely, 237830308144 is an apocalyptic number.

It is an amenable number.

37830308144 is an abundant number, since it is smaller than the sum of its proper divisors (37834356448).

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

37830308144 is a wasteful number, since it uses less digits than its factorization.

37830308144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486765 (or 486759 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 37830308144 in words is "thirty-seven billion, eight hundred thirty million, three hundred eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 43 86 113 172 226 344 452 688 904 1808 4859 9718 19436 38872 77744 486601 973202 1946404 3892808 7785616 20923843 41847686 54985913 83695372 109971826 167390744 219943652 334781488 439887304 879774608 2364394259 4728788518 9457577036 18915154072 37830308144