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37538050680 = 233251323615717
BaseRepresentation
bin100010111101011100…
…010011001001111000
310120220002110112221100
4202331130103021320
51103334220110210
625124510411400
72466141110664
oct427534231170
9116802415840
1037538050680
1114a13284089
127337500b60
133702cb6610
141b616238a4
15e9a7c55c0
hex8bd713278

37538050680 has 384 divisors, whose sum is σ = 139367329920. Its totient is φ = 8691978240.

The previous prime is 37538050679. The next prime is 37538050717. The reversal of 37538050680 is 8605083573.

37538050680 is a `hidden beast` number, since 3 + 7 + 538 + 0 + 50 + 68 + 0 = 666.

37538050680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6563182 + ... + 6568898.

It is an arithmetic number, because the mean of its divisors is an integer number (362935755).

Almost surely, 237538050680 is an apocalyptic number.

37538050680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37538050680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69683664960).

37538050680 is an abundant number, since it is smaller than the sum of its proper divisors (101829279240).

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

37538050680 is a wasteful number, since it uses less digits than its factorization.

37538050680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5824 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 37538050680 in words is "thirty-seven billion, five hundred thirty-eight million, fifty thousand, six hundred eighty".