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38130333696 = 21132713127179
BaseRepresentation
bin100011100000101111…
…101011100000000000
310122102100221122111100
4203200233223200000
51111042331134241
625303345214400
72516622326430
oct434057534000
9118370848440
1038130333696
1115197641084
127481931400
13379890c840
141bba15c2c0
15ed27bb9b6
hex8e0beb800

38130333696 has 576 divisors, whose sum is σ = 137371852800. Its totient is φ = 9921429504.

The previous prime is 38130333691. The next prime is 38130333739. The reversal of 38130333696 is 69633303183.

It is a happy number.

38130333696 is a `hidden beast` number, since 3 + 8 + 1 + 303 + 336 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38130333691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213018535 + ... + 213018713.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 238130333696 is an apocalyptic number.

38130333696 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 38130333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68685926400).

38130333696 is an abundant number, since it is smaller than the sum of its proper divisors (99241519104).

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

38130333696 is a wasteful number, since it uses less digits than its factorization.

38130333696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 38130333696 in words is "thirty-eight billion, one hundred thirty million, three hundred thirty-three thousand, six hundred ninety-six".