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129379773636 = 223666612
BaseRepresentation
bin111100001111110100…
…0101010110011000100
3110100221200212111000000
41320133220222303010
54104432210224021
6135234121321300
712230102634141
oct1703750526304
9410850774000
10129379773636
114a962566963
12210a9036230
13c27b546799
146394d793c8
15357369cb26
hex1e1fa2acc4

129379773636 has 63 divisors (see below), whose sum is σ = 339517585533. Its totient is φ = 43120116720.

The previous prime is 129379773631. The next prime is 129379773659. The reversal of 129379773636 is 636377973921.

The square root of 129379773636 is 359694.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 121727023236 + 7652750400 = 348894^2 + 87480^2 .

It is a super-2 number, since 2×1293797736362 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (129379773631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 19420146 + ... + 19426806.

Almost surely, 2129379773636 is an apocalyptic number.

129379773636 is the 359694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129379773636

129379773636 is an abundant number, since it is smaller than the sum of its proper divisors (210137811897).

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

129379773636 is an frugal number, since it uses more digits than its factorization.

129379773636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 6666 counting only the distinct ones).

The product of its digits is 54010152, while the sum is 63.

The spelling of 129379773636 in words is "one hundred twenty-nine billion, three hundred seventy-nine million, seven hundred seventy-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6661 13322 19983 26644 39966 59949 79932 119898 179847 239796 359694 539541 719388 1079082 1618623 2158164 3237246 4855869 6474492 9711738 19423476 44368921 88737842 133106763 177475684 266213526 399320289 532427052 798640578 1197960867 1597281156 2395921734 3593882601 4791843468 7187765202 10781647803 14375530404 21563295606 32344943409 43126591212 64689886818 129379773636