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474362059104 = 253337107138679
BaseRepresentation
bin1101110011100100010…
…11101001100101100000
31200100102002220101001000
412321302023221211200
530232443141342404
61001530253112000
746162063655103
oct6716213514540
91610362811030
10474362059104
111731a3019a9a
1277b26a88600
13359696c344b
1418d6025873a
15c514e4b339
hex6e722e9960

474362059104 has 192 divisors, whose sum is σ = 1434239654400. Its totient is φ = 152408231424.

The previous prime is 474362059103. The next prime is 474362059121. The reversal of 474362059104 is 401950263474.

474362059104 is a `hidden beast` number, since 4 + 7 + 4 + 3 + 620 + 5 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 474362059104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474362059103) 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 31 ways as a sum of consecutive naturals, for example, 3351237 + ... + 3489915.

It is an arithmetic number, because the mean of its divisors is an integer number (7469998200).

Almost surely, 2474362059104 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 474362059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717119827200).

474362059104 is an abundant number, since it is smaller than the sum of its proper divisors (959877595296).

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

474362059104 is a wasteful number, since it uses less digits than its factorization.

474362059104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138842 (or 138828 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 474362059104 in words is "four hundred seventy-four billion, three hundred sixty-two million, fifty-nine thousand, one hundred four".