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245342315512350 = 232527619125826251
BaseRepresentation
bin110111110010001100110101…
…100100001000001000011110
31012011200111101210200222100100
4313302030311210020020132
5224124142030232343400
62225444412003441530
7102451253202106620
oct6762146544101036
91164614353628310
10245342315512350
11711a0101055991
1223624b990862a6
13a6b88b14457b4
1444828ba900c10
151d56db3aab100
hexdf233590821e

245342315512350 has 144 divisors (see below), whose sum is σ = 754534735793280. Its totient is φ = 55987648200000.

The previous prime is 245342315512321. The next prime is 245342315512363. The reversal of 245342315512350 is 53215513243542.

245342315512350 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 23 + 1 + 551 + 23 + 50 = 666.

It is a super-2 number, since 2×2453423155123502 (a number of 30 digits) contains 22 as substring.

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 = 245342315512296 and 245342315512305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60963276 + ... + 64862975.

It is an arithmetic number, because the mean of its divisors is an integer number (5239824554120).

Almost surely, 2245342315512350 is an apocalyptic number.

245342315512350 is an abundant number, since it is smaller than the sum of its proper divisors (509192420280930).

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

245342315512350 is a wasteful number, since it uses less digits than its factorization.

245342315512350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125826895 (or 125826887 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

Adding to 245342315512350 its reverse (53215513243542), we get a palindrome (298557828755892).

The spelling of 245342315512350 in words is "two hundred forty-five trillion, three hundred forty-two billion, three hundred fifteen million, five hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 619 630 1050 1238 1575 1857 3095 3150 3714 4333 5571 6190 8666 9285 11142 12999 15475 18570 21665 25998 27855 30950 38997 43330 46425 55710 64995 77994 92850 108325 129990 139275 194985 216650 278550 324975 389970 649950 974925 1949850 125826251 251652502 377478753 629131255 754957506 880783757 1132436259 1258262510 1761567514 1887393765 2264872518 2642351271 3145656275 3774787530 4403918785 5284702542 5662181295 6291312550 7927053813 8807837570 9436968825 11324362590 13211756355 15854107626 18873937650 22019593925 26423512710 28310906475 39635269065 44039187850 56621812950 66058781775 77886449369 79270538130 132117563550 155772898738 198176345325 233659348107 389432246845 396352690650 467318696214 545205145583 700978044321 778864493690 1090410291166 1168296740535 1401956088642 1635615436749 1947161234225 2336593481070 2726025727915 3271230873498 3504890221605 3894322468450 4906846310247 5452051455830 5841483702675 7009780443210 8178077183745 9813692620494 11682967405350 13630128639575 16356154367490 17524451108025 24534231551235 27260257279150 35048902216050 40890385918725 49068463102470 81780771837450 122671157756175 245342315512350