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20141608500 = 223353131743157
BaseRepresentation
bin10010110000100010…
…001000111000110100
31220222200222201121000
4102300202020320310
5312222222433000
613130344323300
71312061563446
oct226042107064
956880881530
1020141608500
1185a645a642
123aa1473530
131b8cb29150
14d91028496
157cd3de000
hex4b0888e34

20141608500 has 768 divisors, whose sum is σ = 76523166720. Its totient is φ = 4528742400.

The previous prime is 20141608469. The next prime is 20141608549. The reversal of 20141608500 is 580614102.

20141608500 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 608 + 50 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 128290422 + ... + 128290578.

It is an arithmetic number, because the mean of its divisors is an integer number (99639540).

Almost surely, 220141608500 is an apocalyptic number.

20141608500 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 20141608500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38261583360).

20141608500 is an abundant number, since it is smaller than the sum of its proper divisors (56381558220).

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

20141608500 is a wasteful number, since it uses less digits than its factorization.

20141608500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 20141608500 in words is "twenty billion, one hundred forty-one million, six hundred eight thousand, five hundred".