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5163979392 = 2738111343
BaseRepresentation
bin1001100111100110…
…00001001010000000
3111022212221100000000
410303303001022000
541033434320032
62212230000000
7241653046335
oct46363011200
914285840000
105163979392
11220aa28170
1210014a6000
13643b13710
1436db8898c
15203547e7c
hex133cc1280

5163979392 has 576 divisors, whose sum is σ = 18549891360. Its totient is φ = 1410877440.

The previous prime is 5163979367. The next prime is 5163979399. The reversal of 5163979392 is 2939793615.

It is a happy number.

5163979392 is a `hidden beast` number, since 5 + 163 + 97 + 9 + 392 = 666.

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

It is a super-4 number, since 4×51639793924 (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

Its product of digits (2755620) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (5163979399) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120092523 + ... + 120092565.

Almost surely, 25163979392 is an apocalyptic number.

5163979392 is a gapful number since it is divisible by the number (52) 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 5163979392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9274945680).

5163979392 is an abundant number, since it is smaller than the sum of its proper divisors (13385911968).

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

5163979392 is an equidigital number, since it uses as much as digits as its factorization.

5163979392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 5163979392 is about 71860.8335047681. The cubic root of 5163979392 is about 1728.4686229009.

The spelling of 5163979392 in words is "five billion, one hundred sixty-three million, nine hundred seventy-nine thousand, three hundred ninety-two".