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129728191684 = 227213219792
BaseRepresentation
bin111100011010001100…
…1110001110011000100
3110101211222110221201011
41320310121301303010
54111140404113214
6135332445212004
712241533302200
oct1706431616304
9411758427634
10129728191684
1150021200563
1221185861004
13c305797900
1463c9353b00
153594072ac4
hex1e34671cc4

129728191684 has 81 divisors (see below), whose sum is σ = 286111346157. Its totient is φ = 51295110048.

The previous prime is 129728191669. The next prime is 129728191693. The reversal of 129728191684 is 486191827921.

The square root of 129728191684 is 360178.

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., 19190560900 + 110537630784 = 138530^2 + 332472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65551407 + ... + 65553385.

Almost surely, 2129728191684 is an apocalyptic number.

129728191684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129728191684 is the 360178-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129728191684

129728191684 is an abundant number, since it is smaller than the sum of its proper divisors (156383154473).

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

129728191684 is an equidigital number, since it uses as much as digits as its factorization.

129728191684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 2001 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The spelling of 129728191684 in words is "one hundred twenty-nine billion, seven hundred twenty-eight million, one hundred ninety-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 1979 2366 2548 3958 4732 7916 8281 13853 16562 25727 27706 33124 51454 55412 96971 102908 180089 193942 334451 360178 387884 668902 720356 1260623 1337804 2341157 2521246 3916441 4682314 5042492 7832882 9364628 15665764 16388099 27415087 32776198 50913733 54830174 65552396 101827466 109660348 191905609 203654932 356396131 383811218 661878529 712792262 767622436 1323757058 1425584524 2494772917 2647514116 4633149703 4989545834 9266299406 9979091668 18532598812 32432047921 64864095842 129728191684