Search a number
-
+
13880194020 = 22355711291279
BaseRepresentation
bin11001110110101001…
…01111001111100100
31022211100000220200000
430323110233033210
5211411312202040
610213152421300
71000651462650
oct147324571744
938740026600
1013880194020
11598300a230
122834547830
131402852374
1495960ba60
1556386a130
hex33b52f3e4

13880194020 has 576 divisors, whose sum is σ = 56357683200. Its totient is φ = 2782563840.

The previous prime is 13880193979. The next prime is 13880194033. The reversal of 13880194020 is 2049108831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10851741 + ... + 10853019.

It is an arithmetic number, because the mean of its divisors is an integer number (97843200).

Almost surely, 213880194020 is an apocalyptic number.

13880194020 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 13880194020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28178841600).

13880194020 is an abundant number, since it is smaller than the sum of its proper divisors (42477489180).

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

13880194020 is a wasteful number, since it uses less digits than its factorization.

13880194020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 13880194020 in words is "thirteen billion, eight hundred eighty million, one hundred ninety-four thousand, twenty".