Search a number
-
+
381636058164 = 2231712728352051
BaseRepresentation
bin1011000110110110100…
…10000001110000110100
31100111001212120110121220
411203123102001300310
522223042312330124
6451153213110340
736400203653664
oct5433322016064
91314055513556
10381636058164
1113793a673069
1261b691883b0
1329cacbb2a7a
14146852ba1a4
159dd9600879
hex58db481c34

381636058164 has 96 divisors (see below), whose sum is σ = 953665929216. Its totient is φ = 118364198400.

The previous prime is 381636058163. The next prime is 381636058187. The reversal of 381636058164 is 461850636183.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381636058163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7305939 + ... + 7357989.

It is an arithmetic number, because the mean of its divisors is an integer number (9934020096).

Almost surely, 2381636058164 is an apocalyptic number.

381636058164 is a gapful number since it is divisible by the number (34) 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 381636058164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476832964608).

381636058164 is an abundant number, since it is smaller than the sum of its proper divisors (572029871052).

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

381636058164 is a wasteful number, since it uses less digits than its factorization.

381636058164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52485 (or 52483 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 381636058164 in words is "three hundred eighty-one billion, six hundred thirty-six million, fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 283 381 508 566 762 849 1132 1524 1698 2159 3396 4318 4811 6477 8636 9622 12954 14433 19244 25908 28866 35941 52051 57732 71882 104102 107823 143764 156153 208204 215646 312306 431292 610997 624612 884867 1221994 1769734 1832991 2443988 2654601 3539468 3665982 5309202 6610477 7331964 10618404 13220954 14730433 19831431 26441908 29460866 39662862 44191299 58921732 79325724 88382598 112378109 176765196 224756218 250417361 337134327 449512436 500834722 674268654 751252083 1001669444 1348537308 1502504166 1870764991 3005008332 3741529982 5612294973 7483059964 11224589946 22449179892 31803004847 63606009694 95409014541 127212019388 190818029082 381636058164