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473050865664 = 2133413293161
BaseRepresentation
bin1101110001001000000…
…01110110000000000000
31200020000201122211210000
412320210001312000000
530222302010200124
61001152213440000
746114433004516
oct6704401660000
91606021584700
10473050865664
1117268a976a53
127781b940000
13357bab69640
1418c780624b6
15c489c996c9
hex6e24076000

473050865664 has 1120 divisors, whose sum is σ = 1651846775040. Its totient is φ = 133772083200.

The previous prime is 473050865663. The next prime is 473050865669. The reversal of 473050865664 is 466568050374.

473050865664 is a `hidden beast` number, since 4 + 73 + 0 + 5 + 0 + 8 + 6 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 473050865664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473050865663) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7754932194 + ... + 7754932254.

It is an arithmetic number, because the mean of its divisors is an integer number (1474863192).

Almost surely, 2473050865664 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 473050865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825923387520).

473050865664 is an abundant number, since it is smaller than the sum of its proper divisors (1178795909376).

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

473050865664 is a wasteful number, since it uses less digits than its factorization.

473050865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 473050865664 in words is "four hundred seventy-three billion, fifty million, eight hundred sixty-five thousand, six hundred sixty-four".