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256278192632 = 2371121931157409
BaseRepresentation
bin1110111010101101011…
…1101110000111111000
3220111111110122002100022
43232223113232013320
513144324204131012
6313422123030012
724341545460240
oct3565327560770
9814443562308
10256278192632
11997613a4300
124180306b308
131b22298b787
14c592558b20
1569ee0a4472
hex3bab5ee1f8

256278192632 has 384 divisors, whose sum is σ = 661688832000. Its totient is φ = 90736588800.

The previous prime is 256278192589. The next prime is 256278192637. The reversal of 256278192632 is 236291872652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256278192637) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 626596844 + ... + 626597252.

It is an arithmetic number, because the mean of its divisors is an integer number (1723148000).

Almost surely, 2256278192632 is an apocalyptic number.

256278192632 is a gapful number since it is divisible by the number (22) 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 256278192632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330844416000).

256278192632 is an abundant number, since it is smaller than the sum of its proper divisors (405410639368).

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

256278192632 is a wasteful number, since it uses less digits than its factorization.

256278192632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 636 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 256278192632 in words is "two hundred fifty-six billion, two hundred seventy-eight million, one hundred ninety-two thousand, six hundred thirty-two".