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5323869600 = 2535272172663
BaseRepresentation
bin1001111010101001…
…11100110110100000
3111202000210121010120
410331110330312200
541400402311400
62240141000240
7245634100500
oct47524746640
914660717116
105323869600
112292205035
121046b53080
1366ac961ca
143870c9a00
152125ccca0
hex13d53cda0

5323869600 has 432 divisors, whose sum is σ = 21352258368. Its totient is φ = 1144872960.

The previous prime is 5323869589. The next prime is 5323869601. The reversal of 5323869600 is 69683235.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5323869601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1997869 + ... + 2000531.

It is an arithmetic number, because the mean of its divisors is an integer number (49426524).

Almost surely, 25323869600 is an apocalyptic number.

5323869600 is a gapful number since it is divisible by the number (50) 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 5323869600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676129184).

5323869600 is an abundant number, since it is smaller than the sum of its proper divisors (16028388768).

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

5323869600 is a wasteful number, since it uses less digits than its factorization.

5323869600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 5323869600 is about 72964.8518123624. The cubic root of 5323869600 is about 1746.1269010502.

The spelling of 5323869600 in words is "five billion, three hundred twenty-three million, eight hundred sixty-nine thousand, six hundred".