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13973588900 = 2252139735889
BaseRepresentation
bin11010000001110010…
…00000101110100100
31100001211202212100122
431000321000232210
5212104214321100
610230330301112
71003164355145
oct150071005644
940054685318
1013973588900
115a207aa187
12285b887798
131418cc25cb
14967b9dacc
1556bb67985
hex340e40ba4

13973588900 has 18 divisors (see below), whose sum is σ = 30322688130. Its totient is φ = 5589435520.

The previous prime is 13973588891. The next prime is 13973588903. The reversal of 13973588900 is 988537931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 252746404 + 13720842496 = 15898^2 + 117136^2 .

It is a super-2 number, since 2×139735889002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13973588903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69867845 + ... + 69868044.

It is an arithmetic number, because the mean of its divisors is an integer number (1684593785).

Almost surely, 213973588900 is an apocalyptic number.

13973588900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13973588900 is an abundant number, since it is smaller than the sum of its proper divisors (16349099230).

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

13973588900 is a wasteful number, since it uses less digits than its factorization.

13973588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139735903 (or 139735896 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 13973588900 in words is "thirteen billion, nine hundred seventy-three million, five hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139735889 279471778 558943556 698679445 1397358890 2794717780 3493397225 6986794450 13973588900