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2135782152 = 233274237663
BaseRepresentation
bin111111101001101…
…0111001100001000
312111211211222022200
41333103113030020
513333230012102
6551533120200
7103632564060
oct17723271410
95454758280
102135782152
119a6658819
124b7329060
1328063892a
141639223a0
15c778451c
hex7f4d7308

2135782152 has 48 divisors (see below), whose sum is σ = 6610755840. Its totient is φ = 610223328.

The previous prime is 2135782109. The next prime is 2135782171. The reversal of 2135782152 is 2512875312.

2135782152 is a `hidden beast` number, since 2 + 13 + 578 + 21 + 52 = 666.

It is a super-2 number, since 2×21357821522 = 9123130801603502208, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2118328 + ... + 2119335.

It is an arithmetic number, because the mean of its divisors is an integer number (137724080).

Almost surely, 22135782152 is an apocalyptic number.

It is an amenable number.

2135782152 is an abundant number, since it is smaller than the sum of its proper divisors (4474973688).

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

2135782152 is a wasteful number, since it uses less digits than its factorization.

2135782152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237682 (or 4237675 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2135782152 is about 46214.5231718342. The cubic root of 2135782152 is about 1287.8115553812.

The spelling of 2135782152 in words is "two billion, one hundred thirty-five million, seven hundred eighty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4237663 8475326 12712989 16950652 25425978 29663641 33901304 38138967 50851956 59327282 76277934 88990923 101703912 118654564 152555868 177981846 237309128 266972769 305111736 355963692 533945538 711927384 1067891076 2135782152