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1112345791232 = 281319411133797
BaseRepresentation
bin10000001011111100111…
…110011100101100000000
310221100011021211221110212
4100023330332130230000
5121211041010304412
62211000554413252
7143235652135664
oct20137476345400
93840137757425
101112345791232
1139981a222745
1215b6b6431228
1380b807813a0
143bba2db88a4
151de04778222
hex102fcf9cb00

1112345791232 has 288 divisors, whose sum is σ = 2601884617920. Its totient is φ = 470184099840.

The previous prime is 1112345791133. The next prime is 1112345791253. The reversal of 1112345791232 is 2321975432111.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 1112345791232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292951958 + ... + 292955754.

It is an arithmetic number, because the mean of its divisors is an integer number (9034321590).

Almost surely, 21112345791232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112345791232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300942308960).

1112345791232 is an abundant number, since it is smaller than the sum of its proper divisors (1489538826688).

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

1112345791232 is a wasteful number, since it uses less digits than its factorization.

1112345791232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3985 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The spelling of 1112345791232 in words is "one trillion, one hundred twelve billion, three hundred forty-five million, seven hundred ninety-one thousand, two hundred thirty-two".