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2134132436520 = 233257846877951
BaseRepresentation
bin11111000011100100001…
…101001010111000101000
321120000120100200121210100
4133003210031022320220
5234431200400432040
64312223520345400
7310120535255220
oct37034415127050
97500510617710
102134132436520
1175309813a707
122a5738775260
1312632b61a0c6
1475414b05080
153a7a8a26b30
hex1f0e434ae28

2134132436520 has 96 divisors (see below), whose sum is σ = 7926777630720. Its totient is φ = 487801699200.

The previous prime is 2134132436509. The next prime is 2134132436521. The reversal of 2134132436520 is 256342314312.

2134132436520 is a `hidden beast` number, since 21 + 3 + 41 + 32 + 43 + 6 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2134132436521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423436456 + ... + 423441495.

It is an arithmetic number, because the mean of its divisors is an integer number (82570600320).

Almost surely, 22134132436520 is an apocalyptic number.

2134132436520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134132436520 is an abundant number, since it is smaller than the sum of its proper divisors (5792645194200).

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

2134132436520 is a wasteful number, since it uses less digits than its factorization.

2134132436520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846877975 (or 846877968 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2134132436520 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-two million, four hundred thirty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 846877951 1693755902 2540633853 3387511804 4234389755 5081267706 5928145657 6775023608 7621901559 8468779510 10162535412 11856291314 12703169265 15243803118 16937559020 17784436971 20325070824 23712582628 25406338530 29640728285 30487606236 33875118040 35568873942 38109507795 47425165256 50812677060 53353310913 59281456570 60975212472 71137747884 76219015590 88922184855 101625354120 106706621826 118562913140 142275495768 152438031180 177844369710 213413243652 237125826280 266766554565 304876062360 355688739420 426826487304 533533109130 711377478840 1067066218260 2134132436520