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55808040960 = 213375789
BaseRepresentation
bin110011111110011010…
…110010000000000000
312100001100200020000000
4303332122302000000
51403243324302320
641345440000000
74013655343530
oct637632620000
9170040606000
1055808040960
1121739203201
12a996000000
135355138459
1429b5c514c0
1516b9710c90
hexcfe6b2000

55808040960 has 896 divisors, whose sum is σ = 232140556800. Its totient is φ = 12612796416.

The previous prime is 55808040923. The next prime is 55808040979. The reversal of 55808040960 is 6904080855.

55808040960 is a `hidden beast` number, since 5 + 580 + 8 + 0 + 4 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×558080409602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627056596 + ... + 627056684.

Almost surely, 255808040960 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 55808040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116070278400).

55808040960 is an abundant number, since it is smaller than the sum of its proper divisors (176332515840).

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

55808040960 is an frugal number, since it uses more digits than its factorization.

55808040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55808040960 in words is "fifty-five billion, eight hundred eight million, forty thousand, nine hundred sixty".