Search a number
-
+
139663180800 = 21035521113157
BaseRepresentation
bin1000001000010010010…
…0110000010000000000
3111100111100220200200000
42002010210300100000
54242012233241200
6144054350400000
713042661310063
oct2020444602000
9440440820600
10139663180800
115425a251970
1223098b00000
1310229b723b0
146a8c9d28da
15397638d300
hex2084930400

139663180800 has 1584 divisors, whose sum is σ = 613122549312. Its totient is φ = 31054233600.

The previous prime is 139663180759. The next prime is 139663180841. The reversal of 139663180800 is 8081366931.

It is a happy number.

139663180800 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 631 + 8 + 0 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139663180759) and next prime (139663180841).

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 889574322 + ... + 889574478.

Almost surely, 2139663180800 is an apocalyptic number.

139663180800 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 139663180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306561274656).

139663180800 is an abundant number, since it is smaller than the sum of its proper divisors (473459368512).

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

139663180800 is a wasteful number, since it uses less digits than its factorization.

139663180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 139663180800 in words is "one hundred thirty-nine billion, six hundred sixty-three million, one hundred eighty thousand, eight hundred".