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20014611534216 = 2332131719312135537
BaseRepresentation
bin1001000110100000000111…
…10011111001000110001000
32121212101012200122100110200
410203100003303321012020
510110404411023043331
6110322330254012200
74134002506015665
oct443200363710610
977771180570420
1020014611534216
116417170481a52
1222b2b70aa7060
13b224a64c9480
144d29d8a40a6c
1524a95ca145e6
hex123403cf9188

20014611534216 has 384 divisors, whose sum is σ = 67161815884800. Its totient is φ = 5313896939520.

The previous prime is 20014611534173. The next prime is 20014611534251. The reversal of 20014611534216 is 61243511641002.

20014611534216 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 611 + 5 + 34 + 2 + 1 + 6 = 666.

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, 8304400 + ... + 10439936.

It is an arithmetic number, because the mean of its divisors is an integer number (174900562200).

Almost surely, 220014611534216 is an apocalyptic number.

20014611534216 is a gapful number since it is divisible by the number (26) 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 20014611534216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33580907942400).

20014611534216 is an abundant number, since it is smaller than the sum of its proper divisors (47147204350584).

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

20014611534216 is a wasteful number, since it uses less digits than its factorization.

20014611534216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135629 (or 2135622 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20014611534216 in words is "twenty trillion, fourteen billion, six hundred eleven million, five hundred thirty-four thousand, two hundred sixteen".