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129783633476644 = 227297283892
BaseRepresentation
bin11101100000100110011011…
…010111101111110000100100
3122000112012020120020001221201
4131200212123113233300210
5114002333340132223034
61140005440024252244
736223362265461100
oct3540463327576044
9560465216201851
10129783633476644
1138397a25710874
1212680b30311084
13575570c58ca84
1424097c05ba900
151000e8437e014
hex76099b5efc24

129783633476644 has 81 divisors (see below), whose sum is σ = 266986038250323. Its totient is φ = 55041577145856.

The previous prime is 129783633476621. The next prime is 129783633476669. The reversal of 129783633476644 is 446674336387921.

The square root of 129783633476644 is 11392262.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16188793660900 + 113594839815744 = 4023530^2 + 10658088^2 .

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, 15470687602 + ... + 15470695990.

Almost surely, 2129783633476644 is an apocalyptic number.

129783633476644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

129783633476644 is the 11392262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129783633476644

129783633476644 is an abundant number, since it is smaller than the sum of its proper divisors (137202404773679).

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

129783633476644 is an frugal number, since it uses more digits than its factorization.

129783633476644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16990 (or 8495 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 73.

The spelling of 129783633476644 in words is "one hundred twenty-nine trillion, seven hundred eighty-three billion, six hundred thirty-three million, four hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 388 679 1358 2716 4753 8389 9409 9506 16778 18818 19012 33556 37636 58723 65863 117446 131726 234892 263452 411061 461041 813733 822122 922082 1627466 1644244 1844164 3254932 5696131 11392262 22784524 39872917 70375321 78932101 79745834 140750642 157864202 159491668 281501284 315728404 492627247 552524707 985254494 1105049414 1970508988 2210098828 3448390729 3867672949 6826406137 6896781458 7735345898 13652812274 13793562916 15470691796 27305624548 47784842959 95569685918 191139371836 334493900713 662161395289 668987801426 1324322790578 1337975602852 2648645581156 4635129767023 9270259534046 18540519068092 32445908369161 64891816738322 129783633476644