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37680008721 = 361205901687
BaseRepresentation
bin100011000101111001…
…110100111000010001
310121020222120202202120
4203011321310320101
51104132040234341
625150541204453
72502513534555
oct430571647021
9117228522676
1037680008721
1114a86423283
127376b60729
13372652ac64
141b76417865
15ea7eb7066
hex8c5e74e11

37680008721 has 8 divisors (see below), whose sum is σ = 51063618624. Its totient is φ = 24708202320.

The previous prime is 37680008699. The next prime is 37680008731. The reversal of 37680008721 is 12780008673.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 37680008721 - 25 = 37680008689 is a prime.

It is a super-3 number, since 3×376800087213 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (37680008731) by changing a digit.

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, 102950661 + ... + 102951026.

It is an arithmetic number, because the mean of its divisors is an integer number (6382952328).

Almost surely, 237680008721 is an apocalyptic number.

It is an amenable number.

37680008721 is a deficient number, since it is larger than the sum of its proper divisors (13383609903).

37680008721 is a wasteful number, since it uses less digits than its factorization.

37680008721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205901751.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 37680008721 in words is "thirty-seven billion, six hundred eighty million, eight thousand, seven hundred twenty-one".

Divisors: 1 3 61 183 205901687 617705061 12560002907 37680008721