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378388760928 = 25371379146477
BaseRepresentation
bin1011000000110011011…
…10100100100101100000
31100011200120012200020220
411200121232210211200
522144420010322203
6445455052203040
736223553254053
oct5403156444540
91304616180226
10378388760928
11136523655642
1261401769480
13298b31c4109
1414457cdca9a
159c994ad653
hex5819ba4960

378388760928 has 96 divisors (see below), whose sum is σ = 1009924796160. Its totient is φ = 124024158720.

The previous prime is 378388760927. The next prime is 378388760941. The reversal of 378388760928 is 829067883873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378388760921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2510026 + ... + 2656502.

It is an arithmetic number, because the mean of its divisors is an integer number (10520049960).

Almost surely, 2378388760928 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 378388760928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504962398080).

378388760928 is an abundant number, since it is smaller than the sum of its proper divisors (631536035232).

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

378388760928 is a wasteful number, since it uses less digits than its factorization.

378388760928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146940 (or 146932 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 69.

The spelling of 378388760928 in words is "three hundred seventy-eight billion, three hundred eighty-eight million, seven hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 379 426 568 758 852 1136 1137 1516 1704 2272 2274 3032 3408 4548 6064 6816 9096 12128 18192 26909 36384 53818 80727 107636 146477 161454 215272 292954 322908 430544 439431 585908 645816 861088 878862 1171816 1291632 1757724 2343632 2583264 3515448 4687264 7030896 10399867 14061792 20799734 31199601 41599468 55514783 62399202 83198936 111029566 124798404 166397872 166544349 222059132 249596808 332795744 333088698 444118264 499193616 666177396 888236528 998387232 1332354792 1776473056 2664709584 3941549593 5329419168 7883099186 11824648779 15766198372 23649297558 31532396744 47298595116 63064793488 94597190232 126129586976 189194380464 378388760928