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1145396597664 = 2531121931832017
BaseRepresentation
bin10000101010101110111…
…101010001001110100000
311001111110122202212111210
4100222232331101032200
5122231233012111124
62234104332110120
7145515665304144
oct20525675211640
94044418685453
101145396597664
1140183a578800
12165b9b005340
1384019c09197
143d61a693224
151ebdb12ea29
hex10aaef513a0

1145396597664 has 576 divisors, whose sum is σ = 3636073082880. Its totient is φ = 314225049600.

The previous prime is 1145396597641. The next prime is 1145396597689. The reversal of 1145396597664 is 4667956935411.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1145396597595 and 1145396597604.

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 95 ways as a sum of consecutive naturals, for example, 567870384 + ... + 567872400.

It is an arithmetic number, because the mean of its divisors is an integer number (6312626880).

Almost surely, 21145396597664 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 1145396597664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818036541440).

1145396597664 is an abundant number, since it is smaller than the sum of its proper divisors (2490676485216).

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

1145396597664 is a wasteful number, since it uses less digits than its factorization.

1145396597664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2166 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 66.

The spelling of 1145396597664 in words is "one trillion, one hundred forty-five billion, three hundred ninety-six million, five hundred ninety-seven thousand, six hundred sixty-four".