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2129557064832 = 27321848573841
BaseRepresentation
bin11110111111010011011…
…111100000110010000000
321112120202111022122202200
4132333103133200302000
5234342313102033312
64310145514313200
7306566260246161
oct36772337406200
97476674278680
102129557064832
1175115a49a19a
122a4880428800
13125a7c743a92
14750dd1b9768
153a5dbeeb0dc
hex1efd37e0c80

2129557064832 has 48 divisors (see below), whose sum is σ = 6128022286230. Its totient is φ = 709852354560.

The previous prime is 2129557064809. The next prime is 2129557064849. The reversal of 2129557064832 is 2384607559212.

2129557064832 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 5 + 570 + 64 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1344802038336 + 784755026496 = 1159656^2 + 885864^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 924285769 + ... + 924288072.

It is a 1-persistent number, because it is pandigital, but 2⋅2129557064832 = 4259114129664 is not.

Almost surely, 22129557064832 is an apocalyptic number.

It is an amenable number.

2129557064832 is an abundant number, since it is smaller than the sum of its proper divisors (3998465221398).

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

2129557064832 is a wasteful number, since it uses less digits than its factorization.

2129557064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848573861 (or 1848573846 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2129557064832 in words is "two trillion, one hundred twenty-nine billion, five hundred fifty-seven million, sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1848573841 3697147682 5545721523 7394295364 11091443046 14788590728 16637164569 22182886092 29577181456 33274329138 44365772184 59154362912 66548658276 88731544368 118308725824 133097316552 177463088736 236617451648 266194633104 354926177472 532389266208 709852354944 1064778532416 2129557064832