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14973820020 = 2232583187889
BaseRepresentation
bin11011111001000001…
…00101110001110100
31102122112212212111200
431330200211301310
5221131244220040
610513500532500
71040031240645
oct157440456164
942575785450
1014973820020
116394370675
122a9a851130
1315482b0a43
14a2096b6cc
155c9892630
hex37c825c74

14973820020 has 36 divisors (see below), whose sum is σ = 45420587940. Its totient is φ = 3993018624.

The previous prime is 14973820007. The next prime is 14973820027. The reversal of 14973820020 is 2002837941.

14973820020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7260062436 + 7713757584 = 85206^2 + 87828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14973820027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41593765 + ... + 41594124.

Almost surely, 214973820020 is an apocalyptic number.

14973820020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14973820020 is an abundant number, since it is smaller than the sum of its proper divisors (30446767920).

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

14973820020 is a wasteful number, since it uses less digits than its factorization.

14973820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83187904 (or 83187899 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 14973820020 in words is "fourteen billion, nine hundred seventy-three million, eight hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 83187889 166375778 249563667 332751556 415939445 499127334 748691001 831878890 998254668 1247818335 1497382002 1663757780 2495636670 2994764004 3743455005 4991273340 7486910010 14973820020