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1132353396720 = 2432571383920599
BaseRepresentation
bin10000011110100101100…
…001011001111111110000
311000020210122200121111100
4100132211201121333300
5122023024432143340
62224110155044400
7144544526030220
oct20364541317760
94006718617440
101132353396720
113a7256a76897
1216355aa40700
1382a1b8bc9c0
143cb402c0080
151e6c5ee7830
hex107a5859ff0

1132353396720 has 480 divisors, whose sum is σ = 4686200064000. Its totient is φ = 238617778176.

The previous prime is 1132353396701. The next prime is 1132353396767. The reversal of 1132353396720 is 276933532311.

1132353396720 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 3 + 533 + 96 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54960981 + ... + 54981579.

It is an arithmetic number, because the mean of its divisors is an integer number (9762916800).

Almost surely, 21132353396720 is an apocalyptic number.

1132353396720 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 1132353396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343100032000).

1132353396720 is an abundant number, since it is smaller than the sum of its proper divisors (3553846667280).

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

1132353396720 is a wasteful number, since it uses less digits than its factorization.

1132353396720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21477 (or 21468 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 1132353396720 in words is "one trillion, one hundred thirty-two billion, three hundred fifty-three million, three hundred ninety-six thousand, seven hundred twenty".