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56694277195776 = 2113411376783151
BaseRepresentation
bin11001110010000001010100…
…10000001100100000000000
321102201220211122201122020000
430321000222100030200000
524412334334430231101
6320324554050120000
714641012016631363
oct1471005220144000
9242656748648200
1056694277195776
11170789a9507670
126437892880000
13258332a6c90cc
1410000366480da
15684b3556e486
hex33902a40c800

56694277195776 has 1920 divisors, whose sum is σ = 196171496801280. Its totient is φ = 16160145408000.

The previous prime is 56694277195771. The next prime is 56694277195807. The reversal of 56694277195776 is 67759177249665.

56694277195776 is a `hidden beast` number, since 5 + 6 + 6 + 9 + 4 + 27 + 7 + 19 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 56694277195695 and 56694277195704.

It is not an unprimeable number, because it can be changed into a prime (56694277195771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 375458789301 + ... + 375458789451.

It is an arithmetic number, because the mean of its divisors is an integer number (102172654584).

Almost surely, 256694277195776 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 56694277195776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98085748400640).

56694277195776 is an abundant number, since it is smaller than the sum of its proper divisors (139477219605504).

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

56694277195776 is a wasteful number, since it uses less digits than its factorization.

56694277195776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its digits is 8401579200, while the sum is 81.

The spelling of 56694277195776 in words is "fifty-six trillion, six hundred ninety-four billion, two hundred seventy-seven million, one hundred ninety-five thousand, seven hundred seventy-six".