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1125273352896 = 263472112311181
BaseRepresentation
bin10000010111111111100…
…001001011101011000000
310222120112020100010020000
4100113333201023223000
5121414024434243041
62220535441120000
7144204215453100
oct20277741135300
93876466303200
101125273352896
113a4253521100
12162103929000
1382160b3c764
143c66bc89200
151e40e66bbb6
hex105ff84bac0

1125273352896 has 1260 divisors, whose sum is σ = 4406391114048. Its totient is φ = 282610944000.

The previous prime is 1125273352867. The next prime is 1125273352961. The reversal of 1125273352896 is 6982533725211.

1125273352896 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 27 + 3 + 3 + 528 + 96 = 666.

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 179 ways as a sum of consecutive naturals, for example, 952813426 + ... + 952814606.

Almost surely, 21125273352896 is an apocalyptic number.

1125273352896 is a gapful number since it is divisible by the number (16) 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 1125273352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203195557024).

1125273352896 is an abundant number, since it is smaller than the sum of its proper divisors (3281117761152).

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

1125273352896 is a wasteful number, since it uses less digits than its factorization.

1125273352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1235 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 1125273352896 in words is "one trillion, one hundred twenty-five billion, two hundred seventy-three million, three hundred fifty-two thousand, eight hundred ninety-six".