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2134088651648 = 27315310147637
BaseRepresentation
bin11111000011100001100…
…110001001001110000000
321120000110022022010020102
4133003201212021032000
5234431103143323043
64312215314101532
7310116464144432
oct37034146111600
97500408263212
102134088651648
11753075454468
122a5725b7a8a8
131263225298b5
147540cd88652
153a7a4c786b8
hex1f0e1989380

2134088651648 has 64 divisors (see below), whose sum is σ = 4471455208320. Its totient is φ = 1013139978240.

The previous prime is 2134088651647. The next prime is 2134088651657. The reversal of 2134088651648 is 8461568804312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2134088651593 and 2134088651602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134088651641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4863515 + ... + 5284122.

It is an arithmetic number, because the mean of its divisors is an integer number (69866487630).

Almost surely, 22134088651648 is an apocalyptic number.

It is an amenable number.

2134088651648 is an abundant number, since it is smaller than the sum of its proper divisors (2337366556672).

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

2134088651648 is a wasteful number, since it uses less digits than its factorization.

2134088651648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10147735 (or 10147723 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 2134088651648 in words is "two trillion, one hundred thirty-four billion, eighty-eight million, six hundred fifty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 424 496 848 992 1643 1696 1984 3286 3392 3968 6572 6784 13144 26288 52576 105152 210304 10147637 20295274 40590548 81181096 162362192 314576747 324724384 537824761 629153494 649448768 1075649522 1258306988 1298897536 2151299044 2516613976 4302598088 5033227952 8605196176 10066455904 16672567591 17210392352 20132911808 33345135182 34420784704 40265823616 66690270364 68841569408 133380540728 266761081456 533522162912 1067044325824 2134088651648