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2130132590424 = 233229585174867
BaseRepresentation
bin11110111111110101110…
…010111101111101011000
321112122020121021101110100
4132333311302331331120
5234400002420343144
64310322554015400
7306616446162306
oct36776562757530
97478217241410
102130132590424
11751425351083
122a4a01117560
13125b41a50777
14751557d1276
153a6227d2269
hex1eff5cbdf58

2130132590424 has 24 divisors (see below), whose sum is σ = 5769109099260. Its totient is φ = 710044196784.

The previous prime is 2130132590407. The next prime is 2130132590437. The reversal of 2130132590424 is 4240952310312.

2130132590424 is a `hidden beast` number, since 2 + 1 + 30 + 1 + 32 + 590 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14792587362 + ... + 14792587505.

Almost surely, 22130132590424 is an apocalyptic number.

2130132590424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130132590424 is an abundant number, since it is smaller than the sum of its proper divisors (3638976508836).

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

2130132590424 is a wasteful number, since it uses less digits than its factorization.

2130132590424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29585174879 (or 29585174872 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2130132590424 in words is "two trillion, one hundred thirty billion, one hundred thirty-two million, five hundred ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29585174867 59170349734 88755524601 118340699468 177511049202 236681398936 266266573803 355022098404 532533147606 710044196808 1065066295212 2130132590424