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474683522406912 = 29337133797105137
BaseRepresentation
bin110101111101110001101111…
…0101110111101101000000000
32022020201022010211120112021000
41223323203132232331220000
5444204203323214010122
64401322333313532000
7201661516124123160
oct15373433656755000
92266638124515230
10474683522406912
11128281173474455
12452a4a1b274000
13174b36057c5920
148530b3b1805a0
1539d291b2a20ac
hex1afb8debbda00

474683522406912 has 1280 divisors, whose sum is σ = 1794415580052480. Its totient is φ = 120550814908416.

The previous prime is 474683522406889. The next prime is 474683522406917. The reversal of 474683522406912 is 219604225386474.

474683522406912 is a `hidden beast` number, since 4 + 7 + 4 + 6 + 8 + 3 + 522 + 40 + 69 + 1 + 2 = 666.

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 474683522406912.

It is not an unprimeable number, because it can be changed into a prime (474683522406917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4514852008 + ... + 4514957144.

It is an arithmetic number, because the mean of its divisors is an integer number (1401887171916).

It is a 1-persistent number, because it is pandigital, but 2⋅474683522406912 = 949367044813824 is not.

Almost surely, 2474683522406912 is an apocalyptic number.

474683522406912 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 474683522406912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897207790026240).

474683522406912 is an abundant number, since it is smaller than the sum of its proper divisors (1319732057645568).

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

474683522406912 is a wasteful number, since it uses less digits than its factorization.

474683522406912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105318 (or 105296 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 474683522406912 in words is "four hundred seventy-four trillion, six hundred eighty-three billion, five hundred twenty-two million, four hundred six thousand, nine hundred twelve".