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1052317441332 = 223229231040037
BaseRepresentation
bin11110101000000110000…
…00011101110100110100
310201121012210220210222100
433110003000131310310
5114220121231110312
62123232234502100
7136012256444343
oct17240300356464
93647183823870
101052317441332
11376315841a13
1214bb42b94930
13783051a9311
1438d0a865b5a
151c58e7c55dc
hexf50301dd34

1052317441332 has 18 divisors (see below), whose sum is σ = 2660024643458. Its totient is φ = 350772480432.

The previous prime is 1052317441283. The next prime is 1052317441363. The reversal of 1052317441332 is 2331447132501.

1052317441332 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 317 + 4 + 4 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 679724398116 + 372593043216 = 824454^2 + 610404^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×10523174413322 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 29231040037 = 1052317441332 / (1 + 0 + 5 + 2 + 3 + 1 + 7 + 4 + 4 + 1 + 3 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14615519983 + ... + 14615520054.

Almost surely, 21052317441332 is an apocalyptic number.

1052317441332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1052317441332 is an abundant number, since it is smaller than the sum of its proper divisors (1607707202126).

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

1052317441332 is a wasteful number, since it uses less digits than its factorization.

1052317441332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29231040047 (or 29231040042 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1052317441332 in words is "one trillion, fifty-two billion, three hundred seventeen million, four hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 29231040037 58462080074 87693120111 116924160148 175386240222 263079360333 350772480444 526158720666 1052317441332