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38836970900 = 2252713171973181
BaseRepresentation
bin100100001010110111…
…010010010110010100
310201020121121112111122
4210022313102112110
51114014231032100
625501431023112
72543262543260
oct441267222624
9121217545448
1038836970900
111551a504072
12763a50aa98
13387c133c70
141c45d430a0
151024850985
hex90add2594

38836970900 has 576 divisors, whose sum is σ = 117837457920. Its totient is φ = 10749542400.

The previous prime is 38836970789. The next prime is 38836970947. The reversal of 38836970900 is 907963883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214568810 + ... + 214568990.

It is an arithmetic number, because the mean of its divisors is an integer number (204578920).

Almost surely, 238836970900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38836970900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58918728960).

38836970900 is an abundant number, since it is smaller than the sum of its proper divisors (79000487020).

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

38836970900 is a wasteful number, since it uses less digits than its factorization.

38836970900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

It can be divided in two parts, 38836 and 970900, that multiplied together give a square (37705872400 = 1941802).

The spelling of 38836970900 in words is "thirty-eight billion, eight hundred thirty-six million, nine hundred seventy thousand, nine hundred".