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129697966272 = 2637157614659
BaseRepresentation
bin111100011001010011…
…0011110100011000000
3110101202212121100020110
41320302212132203000
54111110134410042
6135325445311320
712241015344360
oct1706246364300
9411685540213
10129697966272
1150006136786
1221177705540
13c2cc444154
1463c53269a0
1535915a209c
hex1e3299e8c0

129697966272 has 112 divisors (see below), whose sum is σ = 394680561920. Its totient is φ = 36820472832.

The previous prime is 129697966183. The next prime is 129697966273. The reversal of 129697966272 is 272669796921.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (129697966273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96322 + ... + 518337.

Almost surely, 2129697966272 is an apocalyptic number.

129697966272 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 129697966272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197340280960).

129697966272 is an abundant number, since it is smaller than the sum of its proper divisors (264982595648).

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

129697966272 is a wasteful number, since it uses less digits than its factorization.

129697966272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614838 (or 614828 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 66.

The spelling of 129697966272 in words is "one hundred twenty-nine billion, six hundred ninety-seven million, nine hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 942 1099 1256 1344 1884 2198 2512 3297 3768 4396 5024 6594 7536 8792 10048 13188 15072 17584 26376 30144 35168 52752 70336 105504 211008 614659 1229318 1843977 2458636 3687954 4302613 4917272 7375908 8605226 9834544 12907839 14751816 17210452 19669088 25815678 29503632 34420904 39338176 51631356 59007264 68841808 96501463 103262712 118014528 137683616 193002926 206525424 275367232 289504389 386005852 413050848 579008778 675510241 772011704 826101696 1158017556 1351020482 1544023408 2026530723 2316035112 2702040964 3088046816 4053061446 4632070224 5404081928 6176093632 8106122892 9264140448 10808163856 16212245784 18528280896 21616327712 32424491568 43232655424 64848983136 129697966272