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20159018240 = 2851929101283
BaseRepresentation
bin10010110001100100…
…100011010100000000
31221000220202020021012
4102301210203110000
5312241202040430
613132205420052
71312362553634
oct226144432400
957026666235
1020159018240
118605270859
123aa726a628
131b9361357a
14d9347adc4
157cebcc695
hex4b1923500

20159018240 has 288 divisors, whose sum is σ = 53289532800. Its totient is φ = 7276953600.

The previous prime is 20159018239. The next prime is 20159018267. The reversal of 20159018240 is 4281095102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 20159018197 and 20159018206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71233139 + ... + 71233421.

It is an arithmetic number, because the mean of its divisors is an integer number (185033100).

Almost surely, 220159018240 is an apocalyptic number.

20159018240 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 20159018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26644766400).

20159018240 is an abundant number, since it is smaller than the sum of its proper divisors (33130514560).

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

20159018240 is a wasteful number, since it uses less digits than its factorization.

20159018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 20159018240 in words is "twenty billion, one hundred fifty-nine million, eighteen thousand, two hundred forty".