Search a number
-
+
13857869160 = 23325471276449
BaseRepresentation
bin11001110011111111…
…00100110101101000
31022202210000200201100
430321333210311220
5211340103303120
610211034121400
71000260641622
oct147177446550
938683020640
1013857869160
115971451233
122828b80260
1313cb0369a5
14956679c12
1556190a490
hex339fe4d68

13857869160 has 192 divisors, whose sum is σ = 46365696000. Its totient is φ = 3587770368.

The previous prime is 13857869159. The next prime is 13857869167. The reversal of 13857869160 is 6196875831.

13857869160 is a `hidden beast` number, since 1 + 3 + 8 + 578 + 6 + 9 + 1 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13857869097 and 13857869106.

It is not an unprimeable number, because it can be changed into a prime (13857869167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2145616 + ... + 2152064.

It is an arithmetic number, because the mean of its divisors is an integer number (241488000).

Almost surely, 213857869160 is an apocalyptic number.

13857869160 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 13857869160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182848000).

13857869160 is an abundant number, since it is smaller than the sum of its proper divisors (32507826840).

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

13857869160 is a wasteful number, since it uses less digits than its factorization.

13857869160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 13857869160 in words is "thirteen billion, eight hundred fifty-seven million, eight hundred sixty-nine thousand, one hundred sixty".