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129299828352 = 2731779250721
BaseRepresentation
bin111100001101011011…
…1101100111010000000
3110100202010102211200120
41320122313230322000
54104301224001402
6135222144020240
712225112256412
oct1703267547200
9410663384616
10129299828352
114a921422882
1221086301680
13c267b05296
1463884c89b2
15356b65a3bc
hex1e1adece80

129299828352 has 128 divisors (see below), whose sum is σ = 368260473600. Its totient is φ = 40051015680.

The previous prime is 129299828303. The next prime is 129299828389. The reversal of 129299828352 is 253828992921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1292998283522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 390352 + ... + 641072.

It is an arithmetic number, because the mean of its divisors is an integer number (2877034950).

Almost surely, 2129299828352 is an apocalyptic number.

129299828352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129299828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184130236800).

129299828352 is an abundant number, since it is smaller than the sum of its proper divisors (238960645248).

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

129299828352 is a wasteful number, since it uses less digits than its factorization.

129299828352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250834 (or 250822 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 60.

The spelling of 129299828352 in words is "one hundred twenty-nine billion, two hundred ninety-nine million, eight hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 96 102 128 136 158 192 204 237 272 316 384 408 474 544 632 816 948 1088 1264 1343 1632 1896 2176 2528 2686 3264 3792 4029 5056 5372 6528 7584 8058 10112 10744 15168 16116 21488 30336 32232 42976 64464 85952 128928 171904 250721 257856 501442 515712 752163 1002884 1504326 2005768 3008652 4011536 4262257 6017304 8023072 8524514 12034608 12786771 16046144 17049028 19806959 24069216 25573542 32092288 34098056 39613918 48138432 51147084 59420877 68196112 79227836 96276864 102294168 118841754 136392224 158455672 204588336 237683508 272784448 316911344 336718303 409176672 475367016 545568896 633822688 673436606 818353344 950734032 1010154909 1267645376 1346873212 1636706688 1901468064 2020309818 2535290752 2693746424 3802936128 4040619636 5387492848 7605872256 8081239272 10774985696 16162478544 21549971392 32324957088 43099942784 64649914176 129299828352