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38201637852 = 2233750531267
BaseRepresentation
bin100011100100111111…
…101011101111011100
310122121100010021102000
4203210333223233130
51111214104402402
625314413402300
72521446364320
oct434477535734
9118540107360
1038201637852
1115223912a34
1274a1799390
1337aa616b51
141bc57dd980
15ed8ba3c1c
hex8e4febbdc

38201637852 has 48 divisors (see below), whose sum is σ = 113190040320. Its totient is φ = 10914753456.

The previous prime is 38201637841. The next prime is 38201637883. The reversal of 38201637852 is 25873610283.

38201637852 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 1 + 637 + 8 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38201637798 and 38201637807.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25264878 + ... + 25266389.

It is an arithmetic number, because the mean of its divisors is an integer number (2358125840).

Almost surely, 238201637852 is an apocalyptic number.

It is an amenable number.

38201637852 is an abundant number, since it is smaller than the sum of its proper divisors (74988402468).

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

38201637852 is a wasteful number, since it uses less digits than its factorization.

38201637852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50531287 (or 50531279 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 38201637852 in words is "thirty-eight billion, two hundred one million, six hundred thirty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 50531267 101062534 151593801 202125068 303187602 353718869 454781403 606375204 707437738 909562806 1061156607 1364344209 1414875476 1819125612 2122313214 2728688418 3183469821 4244626428 5457376836 6366939642 9550409463 12733879284 19100818926 38201637852