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1139290558848 = 273313195922621
BaseRepresentation
bin10000100101000011000…
…000100101000110000000
311000220201010011221221000
4100211003000211012000
5122131231340340343
62231214410332000
7145211452652541
oct20450300450600
94026633157830
101139290558848
113aa196901432
1216497612a000
1383585b94070
143d1db7604c8
151e98004ced3
hex10943025180

1139290558848 has 512 divisors, whose sum is σ = 3876505920000. Its totient is φ = 326457630720.

The previous prime is 1139290558823. The next prime is 1139290558873. The reversal of 1139290558848 is 8488550929311.

1139290558848 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 2 + 9 + 0 + 5 + 588 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (1139290558823) and next prime (1139290558873).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50352978 + ... + 50375598.

It is an arithmetic number, because the mean of its divisors is an integer number (7571300625).

Almost surely, 21139290558848 is an apocalyptic number.

1139290558848 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 1139290558848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938252960000).

1139290558848 is an abundant number, since it is smaller than the sum of its proper divisors (2737215361152).

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

1139290558848 is a wasteful number, since it uses less digits than its factorization.

1139290558848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22735 (or 22717 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 1139290558848 in words is "one trillion, one hundred thirty-nine billion, two hundred ninety million, five hundred fifty-eight thousand, eight hundred forty-eight".