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1145052835992 = 23331321710118269
BaseRepresentation
bin10000101010011010011…
…101111011000010011000
311001110120200220222011000
4100222122131323002120
5122230032011222432
62234010252105000
7145504322341422
oct20523235730230
94043520828130
101145052835992
1140168352454a
12165b03a65160
1383c93928600
143d5c6b6b812
151ebbad7957c
hex10a9a77b098

1145052835992 has 384 divisors, whose sum is σ = 3683100456000. Its totient is φ = 328297881600.

The previous prime is 1145052835973. The next prime is 1145052836051. The reversal of 1145052835992 is 2995382505411.

1145052835992 is a `hidden beast` number, since 1 + 1 + 4 + 505 + 2 + 83 + 59 + 9 + 2 = 666.

It is a super-2 number, since 2×11450528359922 (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62668234 + ... + 62686502.

Almost surely, 21145052835992 is an apocalyptic number.

1145052835992 is a gapful number since it is divisible by the number (12) 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 1145052835992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841550228000).

1145052835992 is an abundant number, since it is smaller than the sum of its proper divisors (2538047620008).

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

1145052835992 is a wasteful number, since it uses less digits than its factorization.

1145052835992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18428 (or 18405 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 1145052835992 in words is "one trillion, one hundred forty-five billion, fifty-two million, eight hundred thirty-five thousand, nine hundred ninety-two".