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20357743104 = 293267233283
BaseRepresentation
bin10010111101011010…
…101000001000000000
31221112202200111112100
4102331122220020000
5313143040234404
613204025030400
71320324650466
oct227532501000
957482614470
1020357743104
1186a7462786
123b41925400
131bc584234a
14db1a0a836
157e2383d39
hex4bd6a8200

20357743104 has 240 divisors, whose sum is σ = 60098287392. Its totient is φ = 6632423424.

The previous prime is 20357743099. The next prime is 20357743111. The reversal of 20357743104 is 40134775302.

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

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 23 ways as a sum of consecutive naturals, for example, 71935347 + ... + 71935629.

Almost surely, 220357743104 is an apocalyptic number.

20357743104 is a gapful number since it is divisible by the number (24) 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 20357743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30049143696).

20357743104 is an abundant number, since it is smaller than the sum of its proper divisors (39740544288).

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

20357743104 is a wasteful number, since it uses less digits than its factorization.

20357743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 20357743104 in words is "twenty billion, three hundred fifty-seven million, seven hundred forty-three thousand, one hundred four".