Search a number
-
+
55672053696 = 2632717247777
BaseRepresentation
bin110011110110010100…
…000001111111000000
312022200212210100112200
4303312110001333000
51403004021204241
641324141153200
74010414435310
oct636624017700
9168625710480
1055672053696
1121679471a36
12a95855b800
135332c0470c
1429a1b73440
1516ac7ed4b6
hexcf6501fc0

55672053696 has 252 divisors, whose sum is σ = 193732909968. Its totient is φ = 14970322944.

The previous prime is 55672053673. The next prime is 55672053719. The reversal of 55672053696 is 69635027655.

It is a happy number.

55672053696 is a `hidden beast` number, since 5 + 567 + 20 + 53 + 6 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (55672053673) and next prime (55672053719).

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1141360 + ... + 1189136.

Almost surely, 255672053696 is an apocalyptic number.

55672053696 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 55672053696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96866454984).

55672053696 is an abundant number, since it is smaller than the sum of its proper divisors (138060856272).

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

55672053696 is a wasteful number, since it uses less digits than its factorization.

55672053696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47836 (or 47806 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 55672053696 in words is "fifty-five billion, six hundred seventy-two million, fifty-three thousand, six hundred ninety-six".