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20155988160 = 2634571110099
BaseRepresentation
bin10010110001011000…
…111111100011000000
31221000201001021210000
4102301120333203000
5312234413110120
613132020440000
71312325033610
oct226130774300
957021037700
1020155988160
118603591260
123aa6249000
131b92ac2319
14d92ccca40
157ce7ce990
hex4b163f8c0

20155988160 has 560 divisors, whose sum is σ = 89399059200. Its totient is φ = 4187842560.

The previous prime is 20155988123. The next prime is 20155988179. The reversal of 20155988160 is 6188955102.

It is a happy number.

20155988160 is a `hidden beast` number, since 2 + 0 + 1 + 559 + 88 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1990791 + ... + 2000889.

Almost surely, 220155988160 is an apocalyptic number.

20155988160 is a gapful number since it is divisible by the number (20) 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 20155988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44699529600).

20155988160 is an abundant number, since it is smaller than the sum of its proper divisors (69243071040).

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

20155988160 is a wasteful number, since it uses less digits than its factorization.

20155988160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10146 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 20155988160 in words is "twenty billion, one hundred fifty-five million, nine hundred eighty-eight thousand, one hundred sixty".