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1149425347968 = 27337110194597
BaseRepresentation
bin10000101110011111000…
…101101110110110000000
311001212212102120120222000
4100232133011232312000
5122313010342113333
62240012210144000
7146020555152642
oct20563705566600
94055772516860
101149425347968
11403517709507
12166924282000
138450c785ac1
143d8bd76c892
151ed74b83713
hex10b9f16ed80

1149425347968 has 256 divisors, whose sum is σ = 3444306624000. Its totient is φ = 377292625920.

The previous prime is 1149425347919. The next prime is 1149425347979. The reversal of 1149425347968 is 8697435249411.

1149425347968 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 4 + 2 + 534 + 7 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250035846 + ... + 250040442.

It is an arithmetic number, because the mean of its divisors is an integer number (13454322750).

Almost surely, 21149425347968 is an apocalyptic number.

1149425347968 is a gapful number since it is divisible by the number (18) 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 1149425347968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722153312000).

1149425347968 is an abundant number, since it is smaller than the sum of its proper divisors (2294881276032).

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

1149425347968 is a wasteful number, since it uses less digits than its factorization.

1149425347968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5710 (or 5692 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 1149425347968 in words is "one trillion, one hundred forty-nine billion, four hundred twenty-five million, three hundred forty-seven thousand, nine hundred sixty-eight".