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242852752350 = 232521341513291
BaseRepresentation
bin1110001000101100100…
…1101110101111011110
3212012211211022001112100
43202023021232233132
512434330301033400
6303322013145530
723355055223025
oct3421311565736
9765754261470
10242852752350
1193aa205830a
123b096a8b2a6
1319b9340ba80
14ba7b4c58bc
1564b5616100
hex388b26ebde

242852752350 has 72 divisors (see below), whose sum is σ = 702653980392. Its totient is φ = 59779137600.

The previous prime is 242852752349. The next prime is 242852752393. The reversal of 242852752350 is 53257258242.

242852752350 is a `hidden beast` number, since 2 + 4 + 28 + 5 + 275 + 2 + 350 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 242852752296 and 242852752305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20750796 + ... + 20762495.

It is an arithmetic number, because the mean of its divisors is an integer number (9759083061).

Almost surely, 2242852752350 is an apocalyptic number.

242852752350 is an abundant number, since it is smaller than the sum of its proper divisors (459801228042).

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

242852752350 is a wasteful number, since it uses less digits than its factorization.

242852752350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41513322 (or 41513314 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 242852752350 in words is "two hundred forty-two billion, eight hundred fifty-two million, seven hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 41513291 83026582 124539873 207566455 249079746 373619619 415132910 539672783 622699365 747239238 1037832275 1079345566 1245398730 1619018349 1868098095 2075664550 2698363915 3113496825 3238036698 3736196190 4857055047 5396727830 6226993650 8095091745 9340490475 9714110094 13491819575 16190183490 18680980950 24285275235 26983639150 40475458725 48570550470 80950917450 121426376175 242852752350