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2014712420688 = 24361131506537
BaseRepresentation
bin11101010100010110001…
…101111101100101010000
321010121022202212021000000
4131110112031331211100
5231002112334430223
64141313543130000
7265362311005602
oct35242615754520
97117282767000
102014712420688
11707486702250
1228656b143900
13117ca9640c46
146d726815172
1537619938543
hex1d51637d950

2014712420688 has 280 divisors, whose sum is σ = 6590602388736. Its totient is φ = 590823590400.

The previous prime is 2014712420683. The next prime is 2014712420689. The reversal of 2014712420688 is 8860242174102.

2014712420688 is a `hidden beast` number, since 2 + 0 + 147 + 1 + 2 + 420 + 6 + 88 = 666.

It is a super-2 number, since 2×20147124206882 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014712420681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3724156 + ... + 4230692.

Almost surely, 22014712420688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014712420688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295301194368).

2014712420688 is an abundant number, since it is smaller than the sum of its proper divisors (4575889968048).

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

2014712420688 is a wasteful number, since it uses less digits than its factorization.

2014712420688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506605 (or 506584 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2014712420688 in words is "two trillion, fourteen billion, seven hundred twelve million, four hundred twenty thousand, six hundred eighty-eight".