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474712731648 = 21235617773
BaseRepresentation
bin1101110100001110001…
…01010111000000000000
31200101022112202101100000
412322013011113000000
530234202424403043
61002025141200000
746203552433041
oct6720705270000
91611275671300
10474712731648
11173362a63511
1278004400000
13359c42537ac
1418d94a5c8c8
15c535b192d3
hex6e87157000

474712731648 has 312 divisors, whose sum is σ = 1426158337968. Its totient is φ = 157776740352.

The previous prime is 474712731637. The next prime is 474712731653. The reversal of 474712731648 is 846137217474.

It is a happy number.

474712731648 is a `hidden beast` number, since 4 + 7 + 471 + 2 + 7 + 3 + 164 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 474712731594 and 474712731603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614116990 + ... + 614117762.

It is an arithmetic number, because the mean of its divisors is an integer number (4571020314).

Almost surely, 2474712731648 is an apocalyptic number.

474712731648 is a gapful number since it is divisible by the number (48) 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 474712731648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713079168984).

474712731648 is an abundant number, since it is smaller than the sum of its proper divisors (951445606320).

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

474712731648 is an frugal number, since it uses more digits than its factorization.

474712731648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1395 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The spelling of 474712731648 in words is "four hundred seventy-four billion, seven hundred twelve million, seven hundred thirty-one thousand, six hundred forty-eight".