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574080450372 = 22321121375113499
BaseRepresentation
bin10000101101010011101…
…11000111111101000100
32000212210122122111201200
420112221313013331010
533401204043402442
61115421240222500
756322151212642
oct10265167077504
92025718574650
10574080450372
112015144a2300
129331646aa30
134219ba741b0
141daddb32192
15edee5ab34c
hex85a9dc7f44

574080450372 has 216 divisors, whose sum is σ = 1720175184000. Its totient is φ = 160356240000.

The previous prime is 574080450353. The next prime is 574080450373. The reversal of 574080450372 is 273054080475.

574080450372 is a `hidden beast` number, since 5 + 74 + 0 + 8 + 0 + 4 + 503 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (574080450373) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42520879 + ... + 42534377.

It is an arithmetic number, because the mean of its divisors is an integer number (7963774000).

Almost surely, 2574080450372 is an apocalyptic number.

574080450372 is a gapful number since it is divisible by the number (52) 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 574080450372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860087592000).

574080450372 is an abundant number, since it is smaller than the sum of its proper divisors (1146094733628).

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

574080450372 is a wasteful number, since it uses less digits than its factorization.

574080450372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295 (or 14279 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 574080450372 in words is "five hundred seventy-four billion, eighty million, four hundred fifty thousand, three hundred seventy-two".