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20095463232 = 26331329109283
BaseRepresentation
bin10010101101110010…
…000110111101000000
31220212111011022012000
4102231302012331000
5312123414310412
613122015304000
71310661422235
oct225562067500
956774138160
1020095463232
118582401a59
123a89b1b000
131b833c0460
14d88c5578c
157c93264dc
hex4adc86f40

20095463232 has 448 divisors, whose sum is σ = 66653664000. Its totient is φ = 5894332416.

The previous prime is 20095463161. The next prime is 20095463243. The reversal of 20095463232 is 23236459002.

It is a happy number.

20095463232 is a `hidden beast` number, since 200 + 95 + 46 + 323 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71008563 + ... + 71008845.

It is an arithmetic number, because the mean of its divisors is an integer number (148780500).

Almost surely, 220095463232 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 20095463232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33326832000).

20095463232 is an abundant number, since it is smaller than the sum of its proper divisors (46558200768).

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

20095463232 is a wasteful number, since it uses less digits than its factorization.

20095463232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20095463232 in words is "twenty billion, ninety-five million, four hundred sixty-three thousand, two hundred thirty-two".