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129682696242 = 231131307206461
BaseRepresentation
bin111100011000110110…
…0001110100000110010
3110101201210212112200210
41320301230032200302
54111042232234432
6135324142124550
712240441505341
oct1706154164062
9411653775623
10129682696242
114aaa8557120
1221172580756
13c2c9228928
1463c32adb58
1535900878cc
hex1e31b0e832

129682696242 has 64 divisors (see below), whose sum is σ = 293024083968. Its totient is φ = 37906056000.

The previous prime is 129682696237. The next prime is 129682696271. The reversal of 129682696242 is 242696286921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524892 + ... + 731352.

It is an arithmetic number, because the mean of its divisors is an integer number (4578501312).

Almost surely, 2129682696242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129682696242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512041984).

129682696242 is an abundant number, since it is smaller than the sum of its proper divisors (163341387726).

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

129682696242 is a wasteful number, since it uses less digits than its factorization.

129682696242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206815.

The product of its digits is 8957952, while the sum is 57.

The spelling of 129682696242 in words is "one hundred twenty-nine billion, six hundred eighty-two million, six hundred ninety-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 307 341 614 682 921 1023 1842 2046 3377 6754 9517 10131 19034 20262 28551 57102 104687 206461 209374 314061 412922 619383 628122 1238766 2271071 4542142 6400291 6813213 12800582 13626426 19200873 38401746 63383527 70403201 126767054 140806402 190150581 211209603 380301162 422419206 697218797 1394437594 1964889337 2091656391 3929778674 4183312782 5894668011 11789336022 21613782707 43227565414 64841348121 129682696242