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20531874168 = 23341317311461
BaseRepresentation
bin10011000111110010…
…111000100101111000
31221222220100021110000
4103013302320211320
5314022124433133
613233205153000
71324541023311
oct230762704570
957886307400
1020531874168
118786786a53
123b900bb760
131c2293ca90
14dcabb7608
158027cd413
hex4c7cb8978

20531874168 has 320 divisors, whose sum is σ = 65928582720. Its totient is φ = 5913907200.

The previous prime is 20531874157. The next prime is 20531874191. The reversal of 20531874168 is 86147813502.

20531874168 is a `hidden beast` number, since 2 + 0 + 53 + 187 + 416 + 8 = 666.

It is a congruent number.

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, 44537458 + ... + 44537918.

It is an arithmetic number, because the mean of its divisors is an integer number (206026821).

Almost surely, 220531874168 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 20531874168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32964291360).

20531874168 is an abundant number, since it is smaller than the sum of its proper divisors (45396708552).

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

20531874168 is a wasteful number, since it uses less digits than its factorization.

20531874168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 20531874168 in words is "twenty billion, five hundred thirty-one million, eight hundred seventy-four thousand, one hundred sixty-eight".