Search a number
-
+
20153502720 = 21032513171979
BaseRepresentation
bin10010110001001111…
…100000110000000000
31221000112101000101200
4102301033200300000
5312233244041340
613131451301200
71312264642461
oct226117406000
957015330350
1020153502720
11860214397a
123aa544a800
131b92431c50
14d92842d68
157ce48d330
hex4b13e0c00

20153502720 has 528 divisors, whose sum is σ = 79666947360. Its totient is φ = 4666687488.

The previous prime is 20153502709. The next prime is 20153502769. The reversal of 20153502720 is 2720535102.

20153502720 is a `hidden beast` number, since 2 + 0 + 153 + 502 + 7 + 2 + 0 = 666.

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, 10182691 + ... + 10184669.

It is an arithmetic number, because the mean of its divisors is an integer number (150884370).

Almost surely, 220153502720 is an apocalyptic number.

20153502720 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 20153502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39833473680).

20153502720 is an abundant number, since it is smaller than the sum of its proper divisors (59513444640).

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

20153502720 is a wasteful number, since it uses less digits than its factorization.

20153502720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 20153502720 in words is "twenty billion, one hundred fifty-three million, five hundred two thousand, seven hundred twenty".