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38831738143920 = 24352331975034651
BaseRepresentation
bin10001101010001001101111…
…11101010100010010110000
312002111021111121010122220220
420311010313331110102300
520042204344431101140
6214331015414133040
711115333446106351
oct1065046775242260
9162437447118826
1038831738143920
11114114a1928297
124431a26651180
131888a814b8197
149836751add28
15475181545bd0
hex235137f544b0

38831738143920 has 640 divisors, whose sum is σ = 131289644924928. Its totient is φ = 9465679872000.

The previous prime is 38831738143903. The next prime is 38831738143949. The reversal of 38831738143920 is 2934183713883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8349113595 + ... + 8349118245.

Almost surely, 238831738143920 is an apocalyptic number.

38831738143920 is a gapful number since it is divisible by the number (30) 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 38831738143920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65644822462464).

38831738143920 is an abundant number, since it is smaller than the sum of its proper divisors (92457906781008).

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

38831738143920 is a wasteful number, since it uses less digits than its factorization.

38831738143920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5315 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 38831738143920 in words is "thirty-eight trillion, eight hundred thirty-one billion, seven hundred thirty-eight million, one hundred forty-three thousand, nine hundred twenty".