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5357136960 = 263357101877
BaseRepresentation
bin1001111110100111…
…10110110001000000
3111211100101202101000
410333103312301000
541432411340320
62243330012000
7246516625050
oct47723666100
914740352330
105357136960
1122a9a6731a
121056117000
13674b43436
1438b6a9560
1521549ec90
hex13f4f6c40

5357136960 has 448 divisors, whose sum is σ = 21837335040. Its totient is φ = 1210982400.

The previous prime is 5357136959. The next prime is 5357136979. The reversal of 5357136960 is 696317535.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6108042 + ... + 6108918.

Almost surely, 25357136960 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 5357136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918667520).

5357136960 is an abundant number, since it is smaller than the sum of its proper divisors (16480198080).

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

5357136960 is a wasteful number, since it uses less digits than its factorization.

5357136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The square root of 5357136960 is about 73192.4651859739. The cubic root of 5357136960 is about 1749.7563698936.

The spelling of 5357136960 in words is "five billion, three hundred fifty-seven million, one hundred thirty-six thousand, nine hundred sixty".