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20323399468032 = 210342941206077
BaseRepresentation
bin1001001111011111010010…
…00000011000010000000000
32122221220020122121200010000
410213233221000120100000
510130434310230434112
6111120235115040000
74165213533111543
oct447575100302000
978856218550100
1020323399468032
116526118195a71
122342989440000
13b45646b87bcb
1450392cd5485a
152539d19607dc
hex127be9018400

20323399468032 has 440 divisors, whose sum is σ = 64313980398360. Its totient is φ = 6381299957760.

The previous prime is 20323399468027. The next prime is 20323399468051. The reversal of 20323399468032 is 23086499332302.

It is a happy number.

20323399468032 is a `hidden beast` number, since 2 + 0 + 32 + 33 + 99 + 468 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13739590656 + 20309659877376 = 117216^2 + 4506624^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20323399468032.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98517378 + ... + 98723454.

It is an arithmetic number, because the mean of its divisors is an integer number (146168137269).

Almost surely, 220323399468032 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 20323399468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156990199180).

20323399468032 is an abundant number, since it is smaller than the sum of its proper divisors (43990580930328).

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

20323399468032 is a wasteful number, since it uses less digits than its factorization.

20323399468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206179 (or 206152 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 20323399468032 in words is "twenty trillion, three hundred twenty-three billion, three hundred ninety-nine million, four hundred sixty-eight thousand, thirty-two".