Search a number
-
+
376398736164 = 2233115949110937
BaseRepresentation
bin1010111101000110001…
…11001110101100100100
31022222112212121221111000
411132203013032230210
522131331034024124
6444525403113300
736123340316433
oct5364307165444
91288485557430
10376398736164
111356a2301580
1260b47212830
1329656b30279
14143098bd11a
159bce91b6c9
hex57a31ceb24

376398736164 has 192 divisors, whose sum is σ = 1084909593600. Its totient is φ = 111888403200.

The previous prime is 376398736163. The next prime is 376398736169. The reversal of 376398736164 is 461637893673.

376398736164 is a `hidden beast` number, since 3 + 7 + 6 + 3 + 9 + 8 + 7 + 3 + 616 + 4 = 666.

376398736164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (376398736163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34409704 + ... + 34420640.

It is an arithmetic number, because the mean of its divisors is an integer number (5650570800).

Almost surely, 2376398736164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 376398736164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542454796800).

376398736164 is an abundant number, since it is smaller than the sum of its proper divisors (708510857436).

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

376398736164 is a wasteful number, since it uses less digits than its factorization.

376398736164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11503 counting only the distinct ones).

The product of its digits is 82301184, while the sum is 63.

The spelling of 376398736164 in words is "three hundred seventy-six billion, three hundred ninety-eight million, seven hundred thirty-six thousand, one hundred sixty-four".