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20016991176 = 23372137271801
BaseRepresentation
bin10010101001000110…
…110000101111001000
31220200000111111202120
4102221012300233020
5311443322204201
613110133331240
71306016421600
oct225106605710
956600444676
1020016991176
118542084816
123a67796b20
131b700766a0
14d7c669c00
157c24c5536
hex4a91b0bc8

20016991176 has 192 divisors, whose sum is σ = 62811665280. Its totient is φ = 5269017600.

The previous prime is 20016991171. The next prime is 20016991213. The reversal of 20016991176 is 67119961002.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (20016991171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11113476 + ... + 11115276.

It is an arithmetic number, because the mean of its divisors is an integer number (327144090).

Almost surely, 220016991176 is an apocalyptic number.

20016991176 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 20016991176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31405832640).

20016991176 is an abundant number, since it is smaller than the sum of its proper divisors (42794674104).

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

20016991176 is a wasteful number, since it uses less digits than its factorization.

20016991176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The spelling of 20016991176 in words is "twenty billion, sixteen million, nine hundred ninety-one thousand, one hundred seventy-six".