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38532740524668 = 2232133121075231531
BaseRepresentation
bin10001100001011100110100…
…10011111010101001111100
312001102200201221100212001200
420300232122103322221330
520022310023033242133
6213541410245335500
711054620142221605
oct1060563223725174
9161380657325050
1038532740524668
1111306709530535
1243a3aa0a07590
13186681124b2a0
14972dcd238dac
1546c4d1d88913
hex230b9a4faa7c

38532740524668 has 432 divisors, whose sum is σ = 109681273473408. Its totient is φ = 11337394003200.

The previous prime is 38532740524661. The next prime is 38532740524721. The reversal of 38532740524668 is 86642504723583.

38532740524668 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 2 + 7 + 40 + 524 + 6 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38532740524661) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25168347063 + ... + 25168348593.

It is an arithmetic number, because the mean of its divisors is an integer number (253891836744).

Almost surely, 238532740524668 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 38532740524668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840636736704).

38532740524668 is an abundant number, since it is smaller than the sum of its proper divisors (71148532948740).

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

38532740524668 is a wasteful number, since it uses less digits than its factorization.

38532740524668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 63.

The spelling of 38532740524668 in words is "thirty-eight trillion, five hundred thirty-two billion, seven hundred forty million, five hundred twenty-four thousand, six hundred sixty-eight".