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56419422696 = 233371313121911
BaseRepresentation
bin110100100010110111…
…000001000111101000
312101121222002122002000
4310202313001013220
51411021333011241
641530240011000
74035061115550
oct644267010750
9171558078060
1056419422696
1121a2232536a
12ab26900a60
1354219ba7b0
142a3311c160
15170322aeb6
hexd22dc11e8

56419422696 has 256 divisors, whose sum is σ = 194368204800. Its totient is φ = 14765587200.

The previous prime is 56419422649. The next prime is 56419422727. The reversal of 56419422696 is 69622491465.

56419422696 is a `hidden beast` number, since 564 + 19 + 4 + 2 + 2 + 69 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563981 + ... + 2585891.

It is an arithmetic number, because the mean of its divisors is an integer number (759250800).

Almost surely, 256419422696 is an apocalyptic number.

56419422696 is a gapful number since it is divisible by the number (56) 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 56419422696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97184102400).

56419422696 is an abundant number, since it is smaller than the sum of its proper divisors (137948782104).

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

56419422696 is a wasteful number, since it uses less digits than its factorization.

56419422696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22077 (or 22067 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 56419422696 in words is "fifty-six billion, four hundred nineteen million, four hundred twenty-two thousand, six hundred ninety-six".