Search a number
-
+
379364627376 = 243271632308919
BaseRepresentation
bin1011000010100111110…
…01001101001110110000
31100021012120110211100200
411201103321031032300
522203414321034001
6450135552315200
736260003061540
oct5412371151660
91307176424320
10379364627376
11136984495539
1261634542b00
1329a0a431597
141450b767320
159d04ec4086
hex5853e4d3b0

379364627376 has 120 divisors (see below), whose sum is σ = 1220809125120. Its totient is φ = 107724878208.

The previous prime is 379364627333. The next prime is 379364627377. The reversal of 379364627376 is 673726463973.

It is a happy number.

379364627376 is a `hidden beast` number, since 3 + 7 + 9 + 36 + 462 + 73 + 76 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (379364627377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 990156 + ... + 1318763.

It is an arithmetic number, because the mean of its divisors is an integer number (10173409376).

Almost surely, 2379364627376 is an apocalyptic number.

379364627376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379364627376 is an abundant number, since it is smaller than the sum of its proper divisors (841444497744).

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

379364627376 is a wasteful number, since it uses less digits than its factorization.

379364627376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309103 (or 2309094 counting only the distinct ones).

The product of its digits is 144027072, while the sum is 63.

The spelling of 379364627376 in words is "three hundred seventy-nine billion, three hundred sixty-four million, six hundred twenty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6846 7824 9128 10269 11736 13692 18256 20538 23472 27384 41076 54768 82152 164304 2308919 4617838 6926757 9235676 13853514 16162433 18471352 20780271 27707028 32324866 36942704 41560542 48487299 55414056 64649732 83121084 96974598 110828112 129299464 145461897 166242168 193949196 258598928 290923794 332484336 376353797 387898392 581847588 752707594 775796784 1129061391 1163695176 1505415188 2258122782 2327390352 2634476579 3010830376 3387184173 4516245564 5268953158 6021660752 6774368346 7903429737 9032491128 10537906316 13548736692 15806859474 18064982256 21075812632 23710289211 27097473384 31613718948 42151625264 47420578422 54194946768 63227437896 94841156844 126454875792 189682313688 379364627376