Search a number
-
+
186030984779136 = 2732738895931941
BaseRepresentation
bin101010010011000110110110…
…110000111101010110000000
3220101200101111012000222012100
4222103012312300331112000
5143340412424100413021
61455353242105430400
754120203140131120
oct5223066660752600
9811611435028170
10186030984779136
11543033300a9952
1218a4607449b400
137ca585373b193
1433d1d3a708c80
15167915d491626
hexa931b6c3d580

186030984779136 has 192 divisors, whose sum is σ = 611955746157600. Its totient is φ = 53138033786880.

The previous prime is 186030984779131. The next prime is 186030984779207. The reversal of 186030984779136 is 631977489030681.

It is a happy number.

186030984779136 is a `hidden beast` number, since 1 + 8 + 6 + 0 + 30 + 9 + 8 + 477 + 91 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186030984779131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28394926 + ... + 34326866.

Almost surely, 2186030984779136 is an apocalyptic number.

186030984779136 is a gapful number since it is divisible by the number (16) 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 186030984779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305977873078800).

186030984779136 is an abundant number, since it is smaller than the sum of its proper divisors (425924761378464).

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

186030984779136 is a wasteful number, since it uses less digits than its factorization.

186030984779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935857 (or 5935842 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 186030984779136 in words is "one hundred eighty-six trillion, thirty billion, nine hundred eighty-four million, seven hundred seventy-nine thousand, one hundred thirty-six".