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474371121924 = 223472341293757
BaseRepresentation
bin1101110011100101011…
…10001110001100000100
31200100102201221210220000
412321302232032030010
530233003001400144
61001531215241300
746162234002240
oct6716256161404
91610381853800
10474371121924
111731a814a027
1277b29b19230
133596b54756b
1418d61537420
15c515b3b769
hex6e72b8e304

474371121924 has 480 divisors, whose sum is σ = 1522125513216. Its totient is φ = 125881620480.

The previous prime is 474371121923. The next prime is 474371121937. The reversal of 474371121924 is 429121173474.

474371121924 is a `hidden beast` number, since 4 + 7 + 437 + 1 + 121 + 92 + 4 = 666.

It is a super-2 number, since 2×4743711219242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 474371121924.

It is not an unprimeable number, because it can be changed into a prime (474371121923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 626645754 + ... + 626646510.

Almost surely, 2474371121924 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 474371121924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761062756608).

474371121924 is an abundant number, since it is smaller than the sum of its proper divisors (1047754391292).

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

474371121924 is a wasteful number, since it uses less digits than its factorization.

474371121924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1126 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 474371121924 in words is "four hundred seventy-four billion, three hundred seventy-one million, one hundred twenty-one thousand, nine hundred twenty-four".