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2355426144 = 25328178563
BaseRepresentation
bin1000110001100100…
…1111001101100000
320002011011001020100
42030121033031200
514310442114034
61025420542400
7112240535421
oct21431171540
96064131210
102355426144
11aa9638585
125589b1a00
132b6cb02a6
14184b79648
15dbbbe099
hex8c64f360

2355426144 has 36 divisors (see below), whose sum is σ = 6698243916. Its totient is φ = 785141952.

The previous prime is 2355426133. The next prime is 2355426149. The reversal of 2355426144 is 4416245532.

2355426144 is a `hidden beast` number, since 2 + 3 + 554 + 2 + 61 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2355426099 and 2355426108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355426149) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4088994 + ... + 4089569.

It is an arithmetic number, because the mean of its divisors is an integer number (186062331).

Almost surely, 22355426144 is an apocalyptic number.

2355426144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2355426144 is an abundant number, since it is smaller than the sum of its proper divisors (4342817772).

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

2355426144 is a wasteful number, since it uses less digits than its factorization.

2355426144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8178579 (or 8178568 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2355426144 is about 48532.7327069062. The cubic root of 2355426144 is about 1330.5253815953.

The spelling of 2355426144 in words is "two billion, three hundred fifty-five million, four hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8178563 16357126 24535689 32714252 49071378 65428504 73607067 98142756 130857008 147214134 196285512 261714016 294428268 392571024 588856536 785142048 1177713072 2355426144