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4545552960 = 2632513167727
BaseRepresentation
bin1000011101110111…
…11010001001000000
3102201210021000102100
410032323322021000
533302130143320
62031014550400
7220433363664
oct41673721100
912653230370
104545552960
111a22934243
12a6a368400
13575965a10
143119a68a4
151b90da790
hex10eefa240

4545552960 has 336 divisors, whose sum is σ = 16961607936. Its totient is φ = 1110675456.

The previous prime is 4545552959. The next prime is 4545552961. The reversal of 4545552960 is 692555454.

4545552960 is a `hidden beast` number, since 4 + 5 + 4 + 5 + 552 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4545552959) and next prime (4545552961).

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

It is not an unprimeable number, because it can be changed into a prime (4545552961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6252117 + ... + 6252843.

It is an arithmetic number, because the mean of its divisors is an integer number (50480976).

Almost surely, 24545552960 is an apocalyptic number.

4545552960 is a gapful number since it is divisible by the number (40) 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 4545552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480803968).

4545552960 is an abundant number, since it is smaller than the sum of its proper divisors (12416054976).

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

4545552960 is a wasteful number, since it uses less digits than its factorization.

4545552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 4545552960 is about 67420.7161041768. The cubic root of 4545552960 is about 1656.5157673720.

The spelling of 4545552960 in words is "four billion, five hundred forty-five million, five hundred fifty-two thousand, nine hundred sixty".