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1132852835520 = 263257292109613
BaseRepresentation
bin10000011111000011010…
…010100111010011000000
311000022002110110201201200
4100133003102213103000
5122030040311214040
62224231515501200
7144563102136060
oct20370322472300
94008073421650
101132852835520
113a749298a62a
1216367a157800
1382a9b209513
143cb8a76b3a0
151e704c9e630
hex107c34a74c0

1132852835520 has 1008 divisors, whose sum is σ = 4661949040320. Its totient is φ = 247311138816.

The previous prime is 1132852835519. The next prime is 1132852835537. The reversal of 1132852835520 is 255382582311.

1132852835520 is a `hidden beast` number, since 1 + 13 + 2 + 8 + 5 + 2 + 83 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1848046734 + ... + 1848047346.

Almost surely, 21132852835520 is an apocalyptic number.

1132852835520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132852835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330974520160).

1132852835520 is an abundant number, since it is smaller than the sum of its proper divisors (3529096204800).

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

1132852835520 is a wasteful number, since it uses less digits than its factorization.

1132852835520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 1132852835520 in words is "one trillion, one hundred thirty-two billion, eight hundred fifty-two million, eight hundred thirty-five thousand, five hundred twenty".