Search a number
-
+
119573642116380 = 223523173500852987
BaseRepresentation
bin11011001100000001101000…
…011101100111110100011100
3120200101010110201012102222210
4123030001220131213310130
5111133043304340211010
61102151212311440420
734120624215030324
oct3314015035476434
9520333421172883
10119573642116380
1135110995772821
12114b220a986110
1351949911615ba
142175576456284
15dc55b8c63b20
hex6cc068767d1c

119573642116380 has 96 divisors (see below), whose sum is σ = 351382429085184. Its totient is φ = 30323643184384.

The previous prime is 119573642116277. The next prime is 119573642116381. The reversal of 119573642116380 is 83611246375911.

It is a super-2 number, since 2×1195736421163802 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 119573642116380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119573642116381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250187754 + ... + 250665233.

It is an arithmetic number, because the mean of its divisors is an integer number (3660233636304).

It is a 1-persistent number, because it is pandigital, but 2⋅119573642116380 = 239147284232760 is not.

Almost surely, 2119573642116380 is an apocalyptic number.

119573642116380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

119573642116380 is an abundant number, since it is smaller than the sum of its proper divisors (231808786968804).

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

119573642116380 is a wasteful number, since it uses less digits than its factorization.

119573642116380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500853195 (or 500853193 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 119573642116380 in words is "one hundred nineteen trillion, five hundred seventy-three billion, six hundred forty-two million, one hundred sixteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 173 230 276 345 346 460 519 690 692 865 1038 1380 1730 2076 2595 3460 3979 5190 7958 10380 11937 15916 19895 23874 39790 47748 59685 79580 119370 238740 500852987 1001705974 1502558961 2003411948 2504264935 3005117922 5008529870 6010235844 7512794805 10017059740 11519618701 15025589610 23039237402 30051179220 34558856103 46078474804 57598093505 69117712206 86647566751 115196187010 138235424412 172794280515 173295133502 230392374020 259942700253 345588561030 346590267004 433237833755 519885400506 691177122060 866475667510 1039770801012 1299713501265 1732951335020 1992894035273 2599427002530 3985788070546 5198854005060 5978682105819 7971576141092 9964470176365 11957364211638 19928940352730 23914728423276 29893410529095 39857880705460 59786821058190 119573642116380