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129365386276 = 227223211172
BaseRepresentation
bin111100001111011000…
…1110010010000100100
3110100220200210112020211
41320132301302100210
54104420014330101
6135232445105204
712226536432400
oct1703661622044
9410820715224
10129365386276
114a95542a485
12210a4258204
13c278579c59
1463930b2100
1535722a9c51
hex1e1ec72424

129365386276 has 81 divisors (see below), whose sum is σ = 275545518129. Its totient is φ = 52984296288.

The previous prime is 129365386219. The next prime is 129365386301. The reversal of 129365386276 is 672683563921.

The square root of 129365386276 is 359674.

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., 5725948900 + 123639437376 = 75670^2 + 351624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 129365386276.

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 26 ways as a sum of consecutive naturals, for example, 115814470 + ... + 115815586.

Almost surely, 2129365386276 is an apocalyptic number.

129365386276 is the 359674-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129365386276

129365386276 is an abundant number, since it is smaller than the sum of its proper divisors (146180131853).

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

129365386276 is an equidigital number, since it uses as much as digits as its factorization.

129365386276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1149 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The spelling of 129365386276 in words is "one hundred twenty-nine billion, three hundred sixty-five million, three hundred eighty-six thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1117 1127 2116 2234 2254 3703 4468 4508 7406 7819 14812 15638 25691 25921 31276 51382 51842 54733 102764 103684 109466 179837 218932 359674 590893 719348 1181786 1247689 1258859 2363572 2495378 2517718 4136251 4990756 5035436 8272502 8733823 16545004 17467646 28696847 28953757 34935292 57393694 57907514 61136761 114787388 115815028 122273522 200877929 244547044 401755858 660027481 803511716 1320054962 1406145503 2640109924 2812291006 4620192367 5624582012 9240384734 18480769468 32341346569 64682693138 129365386276