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85345264950 = 235211192722337
BaseRepresentation
bin100111101111011111…
…0010110010100110110
322011021212011200000220
41033132332112110312
52344241341434300
6103112421115210
76110635532301
oct1173676262466
9264255150026
1085345264950
11332161a4820
1214659b58b06
13808167c59a
1441b8a33b38
1523478c5da0
hex13def96536

85345264950 has 96 divisors (see below), whose sum is σ = 243050336640. Its totient is φ = 19600819200.

The previous prime is 85345264943. The next prime is 85345264973. The reversal of 85345264950 is 5946254358.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85345264893 and 85345264902.

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 47 ways as a sum of consecutive naturals, for example, 1329819 + ... + 1392518.

It is an arithmetic number, because the mean of its divisors is an integer number (2531774340).

Almost surely, 285345264950 is an apocalyptic number.

85345264950 is an abundant number, since it is smaller than the sum of its proper divisors (157705071690).

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

85345264950 is a wasteful number, since it uses less digits than its factorization.

85345264950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722382 (or 2722377 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 85345264950 in words is "eighty-five billion, three hundred forty-five million, two hundred sixty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 950 1045 1254 1425 1650 2090 2850 3135 5225 6270 10450 15675 31350 2722337 5444674 8167011 13611685 16334022 27223370 29945707 40835055 51724403 59891414 68058425 81670110 89837121 103448806 136116850 149728535 155173209 179674242 204175275 258622015 299457070 310346418 408350550 449185605 517244030 568968433 748642675 775866045 898371210 1137936866 1293110075 1497285350 1551732090 1706905299 2245928025 2586220150 2844842165 3413810598 3879330225 4491856050 5689684330 7758660450 8534526495 14224210825 17069052990 28448421650 42672632475 85345264950