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20465109000 = 23335371941139
BaseRepresentation
bin10011000011110100…
…001100100000001000
31221211020201020212000
4103003310030200020
5313403031442000
613222422151000
71323100361550
oct230364144010
957736636760
1020465109000
118752025326
123b71882460
131c11b6476b
14dc1d98160
157eb9e1000
hex4c3d0c808

20465109000 has 1024 divisors, whose sum is σ = 88058880000. Its totient is φ = 4292352000.

The previous prime is 20465108987. The next prime is 20465109011. The reversal of 20465109000 is 90156402.

20465109000 is a `hidden beast` number, since 2 + 0 + 4 + 651 + 0 + 9 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 147230931 + ... + 147231069.

It is an arithmetic number, because the mean of its divisors is an integer number (85995000).

Almost surely, 220465109000 is an apocalyptic number.

20465109000 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 20465109000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440000).

20465109000 is an abundant number, since it is smaller than the sum of its proper divisors (67593771000).

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

20465109000 is a wasteful number, since it uses less digits than its factorization.

20465109000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 20465109000 in words is "twenty billion, four hundred sixty-five million, one hundred nine thousand".