Search a number
-
+
55640825856 = 213367113
BaseRepresentation
bin110011110100011100…
…111010000000000000
312022121201000211000000
4303310130322000000
51402423022411411
641321104000000
74006555134120
oct636434720000
9168551024000
1055640825856
1121662883000
12a94a000000
1353295bc8c5
14299b964c80
1516a9bd0956
hexcf473a000

55640825856 has 784 divisors, whose sum is σ = 209722321728. Its totient is φ = 14452162560.

The previous prime is 55640825827. The next prime is 55640825897. The reversal of 55640825856 is 65852804655.

It is a happy number.

55640825856 is a `hidden beast` number, since 5 + 56 + 4 + 0 + 8 + 2 + 585 + 6 = 666.

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 55 ways as a sum of consecutive naturals, for example, 5058256891 + ... + 5058256901.

Almost surely, 255640825856 is an apocalyptic number.

55640825856 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 55640825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104861160864).

55640825856 is an abundant number, since it is smaller than the sum of its proper divisors (154081495872).

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

55640825856 is an frugal number, since it uses more digits than its factorization.

55640825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 54.

The spelling of 55640825856 in words is "fifty-five billion, six hundred forty million, eight hundred twenty-five thousand, eight hundred fifty-six".