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1102472594496 = 2632721317237281
BaseRepresentation
bin10000000010110000011…
…111001100010001000000
310220101200012200120201200
4100002300133030101000
5121030330441010441
62202245141501200
7142436204301600
oct20026037142100
93811605616650
101102472594496
11395613046919
121597bba11800
137cc69130640
143b507a22c00
151da27ab67b6
hex100b07cc440

1102472594496 has 1512 divisors, whose sum is σ = 4334320730376. Its totient is φ = 265314631680.

The previous prime is 1102472594413. The next prime is 1102472594537. The reversal of 1102472594496 is 6944952742011.

1102472594496 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 4 + 7 + 2 + 594 + 49 + 6 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 678081600 + 1101794512896 = 26040^2 + 1049664^2 .

It is a super-2 number, since 2×11024725944962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3923389876 + ... + 3923390156.

Almost surely, 21102472594496 is an apocalyptic number.

1102472594496 is a gapful number since it is divisible by the number (16) 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 1102472594496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167160365188).

1102472594496 is an abundant number, since it is smaller than the sum of its proper divisors (3231848135880).

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

1102472594496 is a wasteful number, since it uses less digits than its factorization.

1102472594496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1102472594496 in words is "one trillion, one hundred two billion, four hundred seventy-two million, five hundred ninety-four thousand, four hundred ninety-six".