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474294712320 = 2113251113172973
BaseRepresentation
bin1101110011011100010…
…10101111100000000000
31200100020102011210121200
412321232022233200000
530232323421243240
61001515445421200
746160315351562
oct6715612574000
91610212153550
10474294712320
111731690003a0
1277b0840a800
1335958773490
1418d55327332
15c50e096930
hex6e6e2af800

474294712320 has 2304 divisors, whose sum is σ = 2144288764800. Its totient is φ = 95126814720.

The previous prime is 474294712277. The next prime is 474294712363. The reversal of 474294712320 is 23217492474.

474294712320 is a `hidden beast` number, since 47 + 429 + 47 + 123 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (474294712277) and next prime (474294712363).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6497187804 + ... + 6497187876.

Almost surely, 2474294712320 is an apocalyptic number.

474294712320 is a gapful number since it is divisible by the number (40) 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 474294712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072144382400).

474294712320 is an abundant number, since it is smaller than the sum of its proper divisors (1669994052480).

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

474294712320 is a wasteful number, since it uses less digits than its factorization.

474294712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 474294712320 in words is "four hundred seventy-four billion, two hundred ninety-four million, seven hundred twelve thousand, three hundred twenty".