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20156209920 = 2832571131733
BaseRepresentation
bin10010110001011001…
…110101101100000000
31221000201110112222100
4102301121311230000
5312234442204140
613132025310400
71312326646260
oct226131655400
957021415870
1020156209920
118603722930
123aa6335400
131b92b6c242
14d92d497a0
157ce825530
hex4b1675b00

20156209920 has 864 divisors, whose sum is σ = 89873731584. Its totient is φ = 4047667200.

The previous prime is 20156209901. The next prime is 20156209939. The reversal of 20156209920 is 2990265102.

It is a happy number.

20156209920 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 620 + 9 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (20156209901) and next prime (20156209939).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27497874 + ... + 27498606.

Almost surely, 220156209920 is an apocalyptic number.

20156209920 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 20156209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44936865792).

20156209920 is an abundant number, since it is smaller than the sum of its proper divisors (69717521664).

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

20156209920 is a wasteful number, since it uses less digits than its factorization.

20156209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20156209920 in words is "twenty billion, one hundred fifty-six million, two hundred nine thousand, nine hundred twenty".