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1119139870464 = 283371129312339
BaseRepresentation
bin10000010010010001111…
…011110011011100000000
310221222200210002221002000
4100102101323303130000
5121313444301323324
62214043055224000
7143566220641110
oct20222173633400
93858623087060
101119139870464
113a169630aa60
12160a91818000
13816c4209105
143c249451040
151e1a0e689c9
hex10491ef3700

1119139870464 has 1152 divisors, whose sum is σ = 4407975936000. Its totient is φ = 271492300800.

The previous prime is 1119139870423. The next prime is 1119139870483. The reversal of 1119139870464 is 4640789319111.

It is a happy number.

1119139870464 is a `hidden beast` number, since 1 + 1 + 1 + 91 + 3 + 98 + 7 + 0 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1119139870464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478468207 + ... + 478470545.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368000).

Almost surely, 21119139870464 is an apocalyptic number.

1119139870464 is a gapful number since it is divisible by the number (14) 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 1119139870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203987968000).

1119139870464 is an abundant number, since it is smaller than the sum of its proper divisors (3288836065536).

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

1119139870464 is a wasteful number, since it uses less digits than its factorization.

1119139870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1119139870464 in words is "one trillion, one hundred nineteen billion, one hundred thirty-nine million, eight hundred seventy thousand, four hundred sixty-four".