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452158973952 = 21137231992297
BaseRepresentation
bin1101001010001101100…
…01100110100000000000
31121020002201212210002220
412211012301212200000
524402010144131302
6543415144011040
744444630602320
oct6450661464000
91536081783086
10452158973952
11164839a53544
127376b160a80
133383b776b3a
1417c55531280
15bb65aa44bc
hex6946c66800

452158973952 has 384 divisors, whose sum is σ = 1445423616000. Its totient is φ = 122896908288.

The previous prime is 452158973911. The next prime is 452158973969. The reversal of 452158973952 is 259379851254.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196846468 + ... + 196848764.

It is an arithmetic number, because the mean of its divisors is an integer number (3764124000).

Almost surely, 2452158973952 is an apocalyptic number.

452158973952 is a gapful number since it is divisible by the number (42) 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 452158973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722711808000).

452158973952 is an abundant number, since it is smaller than the sum of its proper divisors (993264642048).

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

452158973952 is a wasteful number, since it uses less digits than its factorization.

452158973952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2531 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 60.

The spelling of 452158973952 in words is "four hundred fifty-two billion, one hundred fifty-eight million, nine hundred seventy-three thousand, nine hundred fifty-two".