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8752423680 = 2833571121323
BaseRepresentation
bin10000010011010111…
…10110001100000000
3211120222020012011000
420021223312030000
5120411110024210
64004254452000
7426615242130
oct101153661400
924528205130
108752423680
113791573500
121843204000
13a963a8b30
145d05aaac0
153635c5ac0
hex209af6300

8752423680 has 1728 divisors, whose sum is σ = 43844290560. Its totient is φ = 1605795840.

The previous prime is 8752423649. The next prime is 8752423697. The reversal of 8752423680 is 863242578.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380540149 + ... + 380540171.

Almost surely, 28752423680 is an apocalyptic number.

8752423680 is a gapful number since it is divisible by the number (80) 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 8752423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21922145280).

8752423680 is an abundant number, since it is smaller than the sum of its proper divisors (35091866880).

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

8752423680 is a wasteful number, since it uses less digits than its factorization.

8752423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8752423680 is about 93554.3888868930. The cubic root of 8752423680 is about 2060.8328928497.

The spelling of 8752423680 in words is "eight billion, seven hundred fifty-two million, four hundred twenty-three thousand, six hundred eighty".