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1018326608640 = 2835511319601
BaseRepresentation
bin11101101000110001111…
…11101110101100000000
310121100110221011121100000
432310120333232230000
5113141013102434030
62055451321200000
7133400040232635
oct16643077565400
93540427147300
101018326608640
11362962906250
12145437630000
1375049082373
14374043b218c
151b750637860
hexed18feeb00

1018326608640 has 864 divisors, whose sum is σ = 4114967980032. Its totient is φ = 238878720000.

The previous prime is 1018326608639. The next prime is 1018326608653. The reversal of 1018326608640 is 468066238101.

1018326608640 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 32 + 6 + 608 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106059840 + ... + 106069440.

Almost surely, 21018326608640 is an apocalyptic number.

1018326608640 is a gapful number since it is divisible by the number (10) 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 1018326608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057483990016).

1018326608640 is an abundant number, since it is smaller than the sum of its proper divisors (3096641371392).

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

1018326608640 is an equidigital number, since it uses as much as digits as its factorization.

1018326608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1018326608640 in words is "one trillion, eighteen billion, three hundred twenty-six million, six hundred eight thousand, six hundred forty".