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855404458272 = 2532713891013631
BaseRepresentation
bin11000111001010100001…
…01000011000100100000
310000202221121101211121200
430130222011003010200
5103003332020131042
61452544542121200
7115541501632620
oct14345205030440
93022847354550
10855404458272
112aa858575291
12119949280200
13628835ba8b0
142d58a75c880
15173b7382c4c
hexc72a143120

855404458272 has 576 divisors, whose sum is σ = 3058372961280. Its totient is φ = 220796928000.

The previous prime is 855404458247. The next prime is 855404458319. The reversal of 855404458272 is 272854404558.

855404458272 is a `hidden beast` number, since 8 + 5 + 54 + 0 + 4 + 4 + 582 + 7 + 2 = 666.

It is a super-2 number, since 2×8554044582722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235581897 + ... + 235585527.

It is an arithmetic number, because the mean of its divisors is an integer number (5309675280).

Almost surely, 2855404458272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855404458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529186480640).

855404458272 is an abundant number, since it is smaller than the sum of its proper divisors (2202968503008).

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

855404458272 is a wasteful number, since it uses less digits than its factorization.

855404458272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 14336000, while the sum is 54.

The spelling of 855404458272 in words is "eight hundred fifty-five billion, four hundred four million, four hundred fifty-eight thousand, two hundred seventy-two".