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2000215560096 = 2532137314949117
BaseRepresentation
bin11101000110110110001…
…000110100111110100000
321002012220110110102211100
4131012312020310332200
5230232420140410341
64130515241114400
7264340130510115
oct35066610647640
97065813412740
102000215560096
117013175a1326
122837a4188a00
13116809108c20
146cb4d36290c
153706bdac3b6
hex1d1b6234fa0

2000215560096 has 288 divisors, whose sum is σ = 6251375566800. Its totient is φ = 602933870592.

The previous prime is 2000215560043. The next prime is 2000215560103. The reversal of 2000215560096 is 6900655120002.

2000215560096 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 2 + 1 + 5 + 560 + 0 + 96 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 722330010000 + 1277885550096 = 849900^2 + 1130436^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 2000215560096.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40698930 + ... + 40748046.

Almost surely, 22000215560096 is an apocalyptic number.

2000215560096 is a gapful number since it is divisible by the number (26) 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 2000215560096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125687783400).

2000215560096 is an abundant number, since it is smaller than the sum of its proper divisors (4251160006704).

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

2000215560096 is a wasteful number, since it uses less digits than its factorization.

2000215560096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49368 (or 49357 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 2000215560096 in words is "two trillion, two hundred fifteen million, five hundred sixty thousand, ninety-six".