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3859515639225 = 345214922932
BaseRepresentation
bin111000001010011101000…
…011110000010110111001
3111122222002021120202010000
4320022131003300112321
51001213242000423400
612113011554343213
7545561252434221
oct70123503602671
914588067522100
103859515639225
1112588a1a63074
12523bbbb8ab09
1321cc48a98c3c
14d4b3166b081
156a5dc9ae600
hex3829d0f05b9

3859515639225 has 135 divisors (see below), whose sum is σ = 7222108605943. Its totient is φ = 2037615384960.

The previous prime is 3859515639181. The next prime is 3859515639247. The reversal of 3859515639225 is 5229365159583.

The square root of 3859515639225 is 1964565.

It is a perfect power (a square), and thus also a powerful number.

3859515639225 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 515 + 6 + 3 + 92 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2033028260649 + 1826487378576 = 1425843^2 + 1351476^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3859515639225 - 211 = 3859515637177 is a prime.

It is a Duffinian number.

Its product of digits (87480000) is a multiple of the sum of its prime divisors (450).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13172408179 + ... + 13172408471.

Almost surely, 23859515639225 is an apocalyptic number.

3859515639225 is the 1964565-th square number.

3859515639225 is the 982283-rd centered octagonal number.

It is an amenable number.

3859515639225 is a deficient number, since it is larger than the sum of its proper divisors (3362592966718).

3859515639225 is an frugal number, since it uses more digits than its factorization.

3859515639225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 450 counting only the distinct ones).

The product of its digits is 87480000, while the sum is 63.

The spelling of 3859515639225 in words is "three trillion, eight hundred fifty-nine billion, five hundred fifteen million, six hundred thirty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 149 225 293 405 447 675 745 879 1341 1465 2025 2235 2637 3725 4023 4395 6705 7325 7911 11175 12069 13185 20115 21975 22201 23733 33525 39555 43657 60345 65925 66603 85849 100575 111005 118665 130971 197775 199809 218285 257547 301725 333015 392913 429245 555025 593325 599427 654855 772641 999045 1091425 1178739 1287735 1665075 1798281 1964565 2146225 2317923 2997135 3274275 3536217 3863205 4995225 5893695 6438675 6504893 6953769 8991405 9822825 11589615 12791501 14985675 17681085 19316025 19514679 29468475 32524465 34768845 38374503 44957025 57948075 58544037 63957505 88405425 97573395 115123509 162622325 173844225 175632111 191872515 292720185 319787525 345370527 487866975 526896333 575617545 878160555 959362575 1036111581 1463600925 1726852635 1905933649 2634481665 2878087725 4390802775 5180557905 5717800947 8634263175 9529668245 13172408325 17153402841 25902789525 28589004735 47648341225 51460208523 85767014205 142945023675 154380625569 257301042615 428835071025 771903127845 1286505213075 3859515639225