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472427046432 = 25351129227839
BaseRepresentation
bin1101101111111101101…
…10001010011000100000
31200011102020211112200000
412313332312022120200
530220012310441212
61001010251100000
746063116431535
oct6677666123040
91604366745600
10472427046432
1117239a82a370
1277686a41600
133571b851133
1418c19278d8c
15c4501241dc
hex6dfed8a620

472427046432 has 576 divisors, whose sum is σ = 1581097190400. Its totient is φ = 137450234880.

The previous prime is 472427046407. The next prime is 472427046493. The reversal of 472427046432 is 234640724274.

It is a happy number.

472427046432 is a `hidden beast` number, since 4 + 72 + 42 + 70 + 46 + 432 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563083069 + ... + 563083907.

It is an arithmetic number, because the mean of its divisors is an integer number (2744960400).

Almost surely, 2472427046432 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 472427046432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790548595200).

472427046432 is an abundant number, since it is smaller than the sum of its proper divisors (1108670143968).

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

472427046432 is a wasteful number, since it uses less digits than its factorization.

472427046432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 472427046432 in words is "four hundred seventy-two billion, four hundred twenty-seven million, forty-six thousand, four hundred thirty-two".