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1139598618912 = 253413313710781
BaseRepresentation
bin10000100101010101010…
…111101111000100100000
311000221111120212000220000
4100211111113233010200
5122132344221301122
62231305133220000
7145222213302045
oct20452527570440
94027446760800
101139598618912
113aa334790526
12164a41331600
1383604954720
143d22a6311cc
151e99c1000ac
hex109555ef120

1139598618912 has 240 divisors, whose sum is σ = 3610823183352. Its totient is φ = 350501437440.

The previous prime is 1139598618881. The next prime is 1139598618913. The reversal of 1139598618912 is 2198168959311.

1139598618912 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 5 + 9 + 8 + 618 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1024864670736 + 114733948176 = 1012356^2 + 338724^2 .

It is a super-2 number, since 2×11395986189122 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1139598618912.

It is not an unprimeable number, because it can be changed into a prime (1139598618913) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 105698962 + ... + 105709742.

Almost surely, 21139598618912 is an apocalyptic number.

1139598618912 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 1139598618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805411591676).

1139598618912 is an abundant number, since it is smaller than the sum of its proper divisors (2471224564440).

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

1139598618912 is a wasteful number, since it uses less digits than its factorization.

1139598618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13953 (or 13936 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 63.

The spelling of 1139598618912 in words is "one trillion, one hundred thirty-nine billion, five hundred ninety-eight million, six hundred eighteen thousand, nine hundred twelve".