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55816463664 = 243413172337229
BaseRepresentation
bin110011111110111010…
…111010010100110000
312100001221112010210000
4303332322322110300
51403303003314124
641350340310000
74014120053523
oct637672722460
9170057463700
1055816463664
1121742a36315
12a9989a2300
135356ac70c0
1429b7004bba
1516ba3266c9
hexcfeeba530

55816463664 has 800 divisors, whose sum is σ = 198276059520. Its totient is φ = 14977695744.

The previous prime is 55816463629. The next prime is 55816463669. The reversal of 55816463664 is 46636461855.

55816463664 is a `hidden beast` number, since 558 + 16 + 46 + 36 + 6 + 4 = 666.

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

Its product of digits (12441600) is a multiple of the sum of its prime divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 55816463664.

It is not an unprimeable number, because it can be changed into a prime (55816463669) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 243739902 + ... + 243740130.

Almost surely, 255816463664 is an apocalyptic number.

55816463664 is a gapful number since it is divisible by the number (54) 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 55816463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99138029760).

55816463664 is an abundant number, since it is smaller than the sum of its proper divisors (142459595856).

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

55816463664 is a wasteful number, since it uses less digits than its factorization.

55816463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 55816463664 in words is "fifty-five billion, eight hundred sixteen million, four hundred sixty-three thousand, six hundred sixty-four".