Search a number
-
+
4274577305325 = 345229701103837
BaseRepresentation
bin111110001101000000101…
…010010110111011101101
3120010122102122100000210000
4332031000222112323231
51030013313242232300
613031414054334513
7620554003411215
oct76150052267355
916118378300700
104274577305325
1113a89244a60a8
1259053735a439
13250124964732
1410ac67d07245
15762d17edc00
hex3e340a96eed

4274577305325 has 120 divisors (see below), whose sum is σ = 8202792878280. Its totient is φ = 2198000448000.

The previous prime is 4274577305261. The next prime is 4274577305353. The reversal of 4274577305325 is 5235037754724.

It is a happy number.

4274577305325 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 5 + 7 + 7 + 305 + 325 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 253100554281 + 4021476751044 = 503091^2 + 2005362^2 .

It is not a de Polignac number, because 4274577305325 - 26 = 4274577305261 is a prime.

It is a super-2 number, since 2×42745773053252 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 41114307 + ... + 41218143.

It is an arithmetic number, because the mean of its divisors is an integer number (68356607319).

Almost surely, 24274577305325 is an apocalyptic number.

4274577305325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4274577305325 is a deficient number, since it is larger than the sum of its proper divisors (3928215572955).

4274577305325 is a wasteful number, since it uses less digits than its factorization.

4274577305325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104589 (or 104575 counting only the distinct ones).

The product of its (nonzero) digits is 24696000, while the sum is 54.

The spelling of 4274577305325 in words is "four trillion, two hundred seventy-four billion, five hundred seventy-seven million, three hundred five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 261 405 435 675 701 725 783 1305 2025 2103 2175 2349 3505 3915 6309 6525 10515 11745 17525 18927 19575 20329 31545 52575 56781 58725 60987 94635 101645 103837 157725 182961 283905 304935 311511 473175 508225 519185 548883 914805 934533 1419525 1524675 1557555 1646649 2595925 2744415 2803599 3011273 4574025 4672665 7787775 8233245 8410797 9033819 13722075 14017995 15056365 23363325 27101457 41166225 42053985 45169095 70089975 72789737 75281825 81304371 135507285 210269925 218369211 225845475 243913113 363948685 406521855 655107633 677536425 1091846055 1219565565 1819743425 1965322899 2032609275 2110902373 3275538165 5459230275 5895968697 6097827825 6332707119 9826614495 10554511865 16377690825 18998121357 29479843485 31663535595 49133072475 52772559325 56994364071 94990606785 147399217425 158317677975 170983092213 284971820355 474953033925 854915461065 1424859101775 4274577305325