Search a number
-
+
56978655552 = 2635713219163
BaseRepresentation
bin110101000100001100…
…010100100101000000
312110001221101121100000
4311010030110211000
51413143013434202
642101534200000
74054661403210
oct650414244500
9173057347300
1056978655552
1122189a69285
12b062053000
1354b0811600
142a874d2240
15173739491c
hexd44314940

56978655552 has 1008 divisors, whose sum is σ = 221983157760. Its totient is φ = 14149085184.

The previous prime is 56978655509. The next prime is 56978655563. The reversal of 56978655552 is 25555687965.

56978655552 is a `hidden beast` number, since 5 + 6 + 9 + 78 + 6 + 5 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56978655552 = 9603 + 38283 = 23283 + 35403.

It is a self number, because there is not a number n which added to its sum of digits gives 56978655552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349562223 + ... + 349562385.

Almost surely, 256978655552 is an apocalyptic number.

56978655552 is a gapful number since it is divisible by the number (52) 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 56978655552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110991578880).

56978655552 is an abundant number, since it is smaller than the sum of its proper divisors (165004502208).

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

56978655552 is a wasteful number, since it uses less digits than its factorization.

56978655552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 207 counting only the distinct ones).

The product of its digits is 113400000, while the sum is 63.

It can be divided in two parts, 5697 and 8655552, that added together give a square (8661249 = 29432).

The spelling of 56978655552 in words is "fifty-six billion, nine hundred seventy-eight million, six hundred fifty-five thousand, five hundred fifty-two".