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2135983403232 = 253479710311783
BaseRepresentation
bin11111000101010010100…
…010000011000011100000
321120012100100121110210000
4133011102202003003200
5234443443222400412
64313131321140000
7310214442234510
oct37052242030340
97505310543700
102135983403232
11753957a45368
122a5b7462a600
13126564c43593
147554c887840
153a86629b4dc
hex1f1528830e0

2135983403232 has 480 divisors, whose sum is σ = 7324332567552. Its totient is φ = 598074679296.

The previous prime is 2135983403221. The next prime is 2135983403233. The reversal of 2135983403232 is 2323043895312.

2135983403232 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 9 + 8 + 3 + 403 + 232 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135983403233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181270813 + ... + 181282595.

Almost surely, 22135983403232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135983403232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662166283776).

2135983403232 is an abundant number, since it is smaller than the sum of its proper divisors (5188349164320).

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

2135983403232 is a wasteful number, since it uses less digits than its factorization.

2135983403232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 11995 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2135983403232 in words is "two trillion, one hundred thirty-five billion, nine hundred eighty-three million, four hundred three thousand, two hundred thirty-two".