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2132875487232 = 21133723167379
BaseRepresentation
bin11111000010011001010…
…010010010100000000000
321112220022202111222112000
4133002121102102200000
5234421112111042412
64311455055504000
7310044433340100
oct37023122224000
97486282458460
102132875487232
11752602677046
122a5447828000
1312618b0a6429
1475335bcd200
153a7334dc4dc
hex1f099492800

2132875487232 has 1152 divisors, whose sum is σ = 7720247808000. Its totient is φ = 579400335360.

The previous prime is 2132875487207. The next prime is 2132875487261. The reversal of 2132875487232 is 2327845782312.

It is a happy number.

2132875487232 is a `hidden beast` number, since 2 + 1 + 3 + 28 + 7 + 548 + 72 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5627639619 + ... + 5627639997.

It is an arithmetic number, because the mean of its divisors is an integer number (6701604000).

Almost surely, 22132875487232 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 2132875487232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860123904000).

2132875487232 is an abundant number, since it is smaller than the sum of its proper divisors (5587372320768).

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

2132875487232 is a wasteful number, since it uses less digits than its factorization.

2132875487232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 2132875487232 in words is "two trillion, one hundred thirty-two billion, eight hundred seventy-five million, four hundred eighty-seven thousand, two hundred thirty-two".