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85734443758 = 217312112391613
BaseRepresentation
bin100111111011000101…
…0111100101011101110
322012021222110222222211
41033312022330223232
52401041004200013
6103215202401034
76123402514345
oct1176612745356
9265258428884
1085734443758
11333a59495a7
121474836017a
1381141a25c2
1442145bcb5c
15236bb4d23d
hex13f62bcaee

85734443758 has 64 divisors (see below), whose sum is σ = 141903912960. Its totient is φ = 38672524800.

The previous prime is 85734443749. The next prime is 85734443771.

85734443758 is nontrivially palindromic in base 10.

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 31 ways as a sum of consecutive naturals, for example, 53151360 + ... + 53152972.

It is an arithmetic number, because the mean of its divisors is an integer number (2217248640).

Almost surely, 285734443758 is an apocalyptic number.

85734443758 is a deficient number, since it is larger than the sum of its proper divisors (56169469202).

85734443758 is a wasteful number, since it uses less digits than its factorization.

85734443758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

The product of its digits is 45158400, while the sum is 58.

The spelling of 85734443758 in words is "eighty-five billion, seven hundred thirty-four million, four hundred forty-three thousand, seven hundred fifty-eight".

Divisors: 1 2 17 31 34 62 211 239 422 478 527 1054 1613 3226 3587 4063 6541 7174 7409 8126 13082 14818 27421 50003 50429 54842 100006 100858 111197 125953 222394 251906 340343 385507 680686 771014 850051 857293 1563299 1700102 1714586 3126598 5785831 6553619 10550633 11571662 11950717 13107238 21101266 23901434 26576083 53152166 81341977 162683954 179360761 203162189 358721522 406324378 1382813609 2521601287 2765627218 5043202574 42867221879 85734443758