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20141692839360 = 263454124178643
BaseRepresentation
bin1001001010001100110100…
…11100100110010111000000
32122022112020012112112110000
410211012122130212113000
510120000141331324420
6110500544351240000
74146121632210621
oct445063234462700
978275205475400
1020141692839360
116466053573474
122313718219000
13b314797b5c11
144d8c12629a48
1524dde94e4690
hex12519a7265c0

20141692839360 has 560 divisors, whose sum is σ = 73700526870432. Its totient is φ = 5218305638400.

The previous prime is 20141692839337. The next prime is 20141692839413. The reversal of 20141692839360 is 6393829614102.

20141692839360 is a `hidden beast` number, since 2 + 0 + 1 + 416 + 9 + 2 + 83 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20141692839297 and 20141692839306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256076199 + ... + 256154841.

Almost surely, 220141692839360 is an apocalyptic number.

20141692839360 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 20141692839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36850263435216).

20141692839360 is an abundant number, since it is smaller than the sum of its proper divisors (53558834031072).

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

20141692839360 is a wasteful number, since it uses less digits than its factorization.

20141692839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78954 (or 78935 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 20141692839360 in words is "twenty trillion, one hundred forty-one billion, six hundred ninety-two million, eight hundred thirty-nine thousand, three hundred sixty".