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132220466053560 = 233452913125214261
BaseRepresentation
bin11110000100000011111001…
…111010010100000110111000
3122100011011010121122001210000
4132010003321322110012320
5114312300003302203220
61145113124335353000
736564420256561263
oct3604037172240670
9570134117561700
10132220466053560
113914742611a165
12129b5266682760
1358a144b241091
14249170cc91cda
151044557626390
hex7840f9e941b8

132220466053560 has 640 divisors, whose sum is σ = 463533998241600. Its totient is φ = 33761774592000.

The previous prime is 132220466053541. The next prime is 132220466053567. The reversal of 132220466053560 is 65350664022231.

132220466053560 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 2 + 0 + 4 + 6 + 605 + 35 + 6 + 0 = 666.

It is a super-2 number, since 2×1322204660535602 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132220466053567) 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, 31030381830 + ... + 31030386090.

Almost surely, 2132220466053560 is an apocalyptic number.

132220466053560 is a gapful number since it is divisible by the number (10) 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 132220466053560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231766999120800).

132220466053560 is an abundant number, since it is smaller than the sum of its proper divisors (331313532188040).

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

132220466053560 is a wasteful number, since it uses less digits than its factorization.

132220466053560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6965 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 132220466053560 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred sixty-six million, fifty-three thousand, five hundred sixty".