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484802885952 = 263272117321391
BaseRepresentation
bin1110000111000001000…
…00001111100101000000
31201100100202011022220200
413003200200033211000
530420334014322302
61010414304205200
750011603352400
oct7034040174500
91640322138820
10484802885952
11177670654810
1279b5b609800
13369418181b8
1419670b6c800
15c92688481c
hex70e080f940

484802885952 has 504 divisors, whose sum is σ = 1787665606272. Its totient is φ = 124192051200.

The previous prime is 484802885921. The next prime is 484802885971. The reversal of 484802885952 is 259588208484.

484802885952 is a `hidden beast` number, since 4 + 8 + 480 + 28 + 85 + 9 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 484802885952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22653177 + ... + 22674567.

It is an arithmetic number, because the mean of its divisors is an integer number (3546955568).

Almost surely, 2484802885952 is an apocalyptic number.

484802885952 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 484802885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893832803136).

484802885952 is an abundant number, since it is smaller than the sum of its proper divisors (1302862720320).

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

484802885952 is a wasteful number, since it uses less digits than its factorization.

484802885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21507 (or 21487 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 484802885952 in words is "four hundred eighty-four billion, eight hundred two million, eight hundred eighty-five thousand, nine hundred fifty-two".