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2135374321437 = 33731615974763
BaseRepresentation
bin11111000100101110001…
…110100101011100011101
321120010202220111220122000
4133010232032211130131
5234441221311241222
64312551042312513
7310163365152030
oct37045616453435
97503686456560
102135374321437
11753675154185
122a5a24658739
131264989b8056
14754d1a19017
153a82ca879ac
hex1f12e3a571d

2135374321437 has 64 divisors (see below), whose sum is σ = 3793258168320. Its totient is φ = 1161493732800.

The previous prime is 2135374321403. The next prime is 2135374321459. The reversal of 2135374321437 is 7341234735312.

2135374321437 is a `hidden beast` number, since 2 + 1 + 35 + 374 + 3 + 214 + 37 = 666.

It is not a de Polignac number, because 2135374321437 - 211 = 2135374319389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2135374321392 and 2135374321401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135374321937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2629983 + ... + 3344780.

It is an arithmetic number, because the mean of its divisors is an integer number (59269658880).

Almost surely, 22135374321437 is an apocalyptic number.

2135374321437 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

2135374321437 is a deficient number, since it is larger than the sum of its proper divisors (1657883846883).

2135374321437 is a wasteful number, since it uses less digits than its factorization.

2135374321437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974871 (or 5974865 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 2135374321437 in words is "two trillion, one hundred thirty-five billion, three hundred seventy-four million, three hundred twenty-one thousand, four hundred thirty-seven".

Divisors: 1 3 7 9 21 27 31 61 63 93 183 189 217 279 427 549 651 837 1281 1647 1891 1953 3843 5673 5859 11529 13237 17019 39711 51057 119133 357399 5974763 17924289 41823341 53772867 125470023 161318601 185217653 364460543 376410069 555652959 1093381629 1129230207 1296523571 1666958877 2551223801 3280144887 3889570713 5000876631 7653671403 9840434661 11298276833 11668712139 22961014209 33894830499 35006136417 68883042627 79087937831 101684491497 237263813493 305053474491 711791440479 2135374321437