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2132114649210 = 23357133114918787
BaseRepresentation
bin11111000001101011111…
…011111011000001111010
321112211100201212101222000
4133001223323323001322
5234413032322233320
64311251400241430
7310016534331330
oct37015373730172
97484321771860
102132114649210
11752252154197
122a5274a70276
13126099585810
14752a2b39b50
153a6db7edc90
hex1f06befb07a

2132114649210 has 512 divisors, whose sum is σ = 7272308736000. Its totient is φ = 432396610560.

The previous prime is 2132114649173. The next prime is 2132114649233. The reversal of 2132114649210 is 129464112312.

2132114649210 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 1 + 1 + 4 + 649 + 2 + 1 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113479437 + ... + 113498223.

It is an arithmetic number, because the mean of its divisors is an integer number (14203728000).

Almost surely, 22132114649210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132114649210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636154368000).

2132114649210 is an abundant number, since it is smaller than the sum of its proper divisors (5140194086790).

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

2132114649210 is a wasteful number, since it uses less digits than its factorization.

2132114649210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19003 (or 18997 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2132114649210 in words is "two trillion, one hundred thirty-two billion, one hundred fourteen million, six hundred forty-nine thousand, two hundred ten".