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5360179968 = 2833112131729
BaseRepresentation
bin1001111110111110…
…11101101100000000
3111211120010100121000
410333133131230000
541434201224333
62243515132000
7246554530563
oct47737355400
914746110530
105360179968
112300755600
121057144000
1367566a530
1438bc5c4da
152158a1713
hex13f7ddb00

5360179968 has 864 divisors, whose sum is σ = 20552011200. Its totient is φ = 1362493440.

The previous prime is 5360179931. The next prime is 5360180009. The reversal of 5360179968 is 8699710635.

5360179968 is a `hidden beast` number, since 536 + 0 + 17 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184833778 + ... + 184833806.

It is an arithmetic number, because the mean of its divisors is an integer number (23787050).

Almost surely, 25360179968 is an apocalyptic number.

5360179968 is a gapful number since it is divisible by the number (58) 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 5360179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10276005600).

5360179968 is an abundant number, since it is smaller than the sum of its proper divisors (15191831232).

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

5360179968 is a wasteful number, since it uses less digits than its factorization.

5360179968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 5360179968 is about 73213.2499483529. The cubic root of 5360179968 is about 1750.0876111784.

The spelling of 5360179968 in words is "five billion, three hundred sixty million, one hundred seventy-nine thousand, nine hundred sixty-eight".