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81064120319 = 7132595032309
BaseRepresentation
bin100101101111111001…
…1000100111111111111
321202020111102222122122
41023133303010333333
52312004403322234
6101123525233155
75566562440130
oct1133763047777
9252214388578
1081064120319
1131419645466
12138642627bb
13784b732500
143cd0217c87
152196b1892e
hex12dfcc4fff

81064120319 has 48 divisors (see below), whose sum is σ = 102266841600. Its totient is φ = 62898945408.

The previous prime is 81064120303. The next prime is 81064120321. The reversal of 81064120319 is 91302146018.

It is not a de Polignac number, because 81064120319 - 24 = 81064120303 is a prime.

It is a super-2 number, since 2×810641203192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81064120219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35106737 + ... + 35109045.

It is an arithmetic number, because the mean of its divisors is an integer number (2130559200).

Almost surely, 281064120319 is an apocalyptic number.

81064120319 is a deficient number, since it is larger than the sum of its proper divisors (21202721281).

81064120319 is a wasteful number, since it uses less digits than its factorization.

81064120319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 81064120319 in words is "eighty-one billion, sixty-four million, one hundred twenty thousand, three hundred nineteen".

Divisors: 1 7 13 59 91 169 413 503 767 1183 2309 3521 5369 6539 9971 16163 29677 30017 45773 69797 85007 136231 207739 210119 385801 390221 595049 953617 1161427 1771003 2700607 2731547 5015413 8129989 12397021 15098551 23023039 35107891 68524193 105689857 161161273 196281163 479669351 890814509 1373968141 6235701563 11580588617 81064120319