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474294022078464 = 215327237887069
BaseRepresentation
bin110101111010111100010111…
…0101101001000000000000000
32022012100001202212222201220100
41223311320232231020000000
5444131313124123002324
64400423355450042400
7201621420005012400
oct15365705655100000
92265301685881810
10474294022078464
11128140a68709765
1245241438419400
13174859715434b3
148519d4b64c800
1539c77215674c9
hex1af5e2eb48000

474294022078464 has 576 divisors, whose sum is σ = 1636940901527100. Its totient is φ = 131849927000064.

The previous prime is 474294022078421. The next prime is 474294022078523. The reversal of 474294022078464 is 464870220492474.

474294022078464 is a `hidden beast` number, since 4 + 7 + 4 + 294 + 0 + 2 + 207 + 84 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353132047908864 + 121161974169600 = 18791808^2 + 11007360^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534231922 + ... + 535118990.

Almost surely, 2474294022078464 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 474294022078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818470450763550).

474294022078464 is an abundant number, since it is smaller than the sum of its proper divisors (1162646879448636).

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

474294022078464 is an equidigital number, since it uses as much as digits as its factorization.

474294022078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887156 (or 887118 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 63.

The spelling of 474294022078464 in words is "four hundred seventy-four trillion, two hundred ninety-four billion, twenty-two million, seventy-eight thousand, four hundred sixty-four".