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56025457488 = 2433711132343131
BaseRepresentation
bin110100001011011000…
…001010001101010000
312100121111210010102000
4310023120022031100
51404220004114423
641423203554000
74022235350130
oct641330121520
9170544703360
1056025457488
112183aa01490
12aa3698b900
13538b1acca0
1429d6a88ac0
1516cd85a843
hexd0b60a350

56025457488 has 1280 divisors, whose sum is σ = 232305131520. Its totient is φ = 12454041600.

The previous prime is 56025457457. The next prime is 56025457519. The reversal of 56025457488 is 88475452065.

56025457488 is a `hidden beast` number, since 5 + 60 + 2 + 5 + 4 + 574 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56025457457) and next prime (56025457519).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 427675183 + ... + 427675313.

It is an arithmetic number, because the mean of its divisors is an integer number (181488384).

Almost surely, 256025457488 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 56025457488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116152565760).

56025457488 is an abundant number, since it is smaller than the sum of its proper divisors (176279674032).

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

56025457488 is a wasteful number, since it uses less digits than its factorization.

56025457488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 56025457488 in words is "fifty-six billion, twenty-five million, four hundred fifty-seven thousand, four hundred eighty-eight".