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38237055696 = 2434715312753
BaseRepresentation
bin100011100111000110…
…110010101011010000
310122200210202200120000
4203213012302223100
51111302141240241
625322120450000
72522356416330
oct434706625320
9118623680500
1038237055696
1115241903984
1274b1619900
1337b4a67b58
141bca3bd0c0
15edbd4ceb6
hex8e71b2ad0

38237055696 has 200 divisors, whose sum is σ = 126607593024. Its totient is φ = 10913771520.

The previous prime is 38237055667. The next prime is 38237055749. The reversal of 38237055696 is 69655073283.

It is a happy number.

38237055696 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 70 + 5 + 569 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 13887856 + ... + 13890608.

Almost surely, 238237055696 is an apocalyptic number.

38237055696 is a gapful number since it is divisible by the number (36) 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 38237055696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63303796512).

38237055696 is an abundant number, since it is smaller than the sum of its proper divisors (88370537328).

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

38237055696 is a wasteful number, since it uses less digits than its factorization.

38237055696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 38237055696 in words is "thirty-eight billion, two hundred thirty-seven million, fifty-five thousand, six hundred ninety-six".