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1152947652516 = 2234114172292
BaseRepresentation
bin10000110001110001000…
…010010000011110100100
311002012221220102012110000
4100301301002100132210
5122342214044340031
62241353513301300
7146204055230262
oct20616102203644
94065856365400
101152947652516
11404a64990000
12167547a04830
138495143178a
143db35495432
151eecdee93e6
hex10c710907a4

1152947652516 has 675 divisors, whose sum is σ = 3647545096195. Its totient is φ = 317487582720.

The previous prime is 1152947652457. The next prime is 1152947652547. The reversal of 1152947652516 is 6152567492511.

The square root of 1152947652516 is 1073754.

It is a perfect power (a square), and thus also a powerful number.

1152947652516 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 9 + 4 + 76 + 52 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113967008100 + 1038980644416 = 337590^2 + 1019304^2 .

It is a super-2 number, since 2×11529476525162 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 39756815590 + ... + 39756815618.

Almost surely, 21152947652516 is an apocalyptic number.

1152947652516 is the 1073754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1152947652516

1152947652516 is an abundant number, since it is smaller than the sum of its proper divisors (2494597443679).

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

1152947652516 is an equidigital number, since it uses as much as digits as its factorization.

1152947652516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 62 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 1152947652516 in words is "one trillion, one hundred fifty-two billion, nine hundred forty-seven million, six hundred fifty-two thousand, five hundred sixteen".