Search a number
-
+
18860179968 = 2934729281
BaseRepresentation
bin10001100100001001…
…111000001000000000
31210200101202102010000
4101210021320020000
5302111201224333
612355251040000
71235241612300
oct214411701000
953611672100
1018860179968
117aa90973a3
1237a42a0000
131a174c4306
14cacb7d600
15755b6b713
hex464278200

18860179968 has 300 divisors, whose sum is σ = 65490366942. Its totient is φ = 5388042240.

The previous prime is 18860179951. The next prime is 18860180011. The reversal of 18860179968 is 86997106881.

18860179968 is a `hidden beast` number, since 18 + 8 + 601 + 7 + 9 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12518924544 + 6341255424 = 111888^2 + 79632^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2027488 + ... + 2036768.

Almost surely, 218860179968 is an apocalyptic number.

18860179968 is a gapful number since it is divisible by the number (18) 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 18860179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32745183471).

18860179968 is an abundant number, since it is smaller than the sum of its proper divisors (46630186974).

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

18860179968 is an frugal number, since it uses more digits than its factorization.

18860179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 18860179968 in words is "eighteen billion, eight hundred sixty million, one hundred seventy-nine thousand, nine hundred sixty-eight".