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14180772060 = 223457132931107
BaseRepresentation
bin11010011010011110…
…10110100011011100
31100121021121212020000
431031033112203130
5213020234201220
610303051054300
71011261400530
oct151517264334
940537555200
1014180772060
116017748a34
1228b9141390
13144cbc32b0
149874d1bc0
1557ee40390
hex34d3d68dc

14180772060 has 960 divisors, whose sum is σ = 59012997120. Its totient is φ = 2769500160.

The previous prime is 14180772043. The next prime is 14180772163. The reversal of 14180772060 is 6027708141.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 132530527 + ... + 132530633.

It is an arithmetic number, because the mean of its divisors is an integer number (61471872).

Almost surely, 214180772060 is an apocalyptic number.

14180772060 is a gapful number since it is divisible by the number (10) 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 14180772060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29506498560).

14180772060 is an abundant number, since it is smaller than the sum of its proper divisors (44832225060).

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

14180772060 is a wasteful number, since it uses less digits than its factorization.

14180772060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 14180772060 in words is "fourteen billion, one hundred eighty million, seven hundred seventy-two thousand, sixty".