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45427962492 = 2232112343193601
BaseRepresentation
bin101010010011101101…
…111011001001111100
311100020221201121020100
4222103231323021330
51221014024244432
632511434521100
73165514211223
oct522355731174
9140227647210
1045427962492
11182a199a660
128979896190
13438c7931a3
1422ad431cba
1512ad2c707c
hexa93b7b27c

45427962492 has 288 divisors, whose sum is σ = 134674315776. Its totient is φ = 12773376000.

The previous prime is 45427962473. The next prime is 45427962521. The reversal of 45427962492 is 29426972454.

45427962492 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 7 + 9 + 624 + 9 + 2 = 666.

It is a congruent number.

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, 75586992 + ... + 75587592.

It is an arithmetic number, because the mean of its divisors is an integer number (467619152).

Almost surely, 245427962492 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 45427962492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67337157888).

45427962492 is an abundant number, since it is smaller than the sum of its proper divisors (89246353284).

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

45427962492 is a wasteful number, since it uses less digits than its factorization.

45427962492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 876 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 45427962492 in words is "forty-five billion, four hundred twenty-seven million, nine hundred sixty-two thousand, four hundred ninety-two".