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20009094336 = 26357311231
BaseRepresentation
bin10010101000101000…
…101000110011000000
31220122110122022100000
4102220220220303000
5311434312004321
613105252200000
71305562332000
oct225050506300
956573568300
1020009094336
118538680800
123a65009000
131b6b5401ba
14d7b5b2000
157c1965826
hex4a8a28cc0

20009094336 has 1008 divisors, whose sum is σ = 78698547200. Its totient is φ = 5029516800.

The previous prime is 20009094311. The next prime is 20009094361. The reversal of 20009094336 is 63349090002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20009094311) and next prime (20009094361).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×200090943362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20009094336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 645454641 + ... + 645454671.

Almost surely, 220009094336 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 20009094336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39349273600).

20009094336 is an abundant number, since it is smaller than the sum of its proper divisors (58689452864).

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

20009094336 is an equidigital number, since it uses as much as digits as its factorization.

20009094336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20009094336 in words is "twenty billion, nine million, ninety-four thousand, three hundred thirty-six".