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129966282666 = 232112322942787
BaseRepresentation
bin111100100001010011…
…0000001011110101010
3110102110120111020010200
41321002212001132222
54112132332021131
6135412232253030
712250454114043
oct1710246013652
9412416436120
10129966282666
115013363a870
1221231541176
13c342bca84c
14640cc0d8ca
1535a9e032e6
hex1e429817aa

129966282666 has 144 divisors (see below), whose sum is σ = 332211166560. Its totient is φ = 36371522880.

The previous prime is 129966282629. The next prime is 129966282703. The reversal of 129966282666 is 666282669921.

It is an interprime number because it is at equal distance from previous prime (129966282629) and next prime (129966282703).

It is a super-2 number, since 2×1299662826662 (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3016125 + ... + 3058911.

It is an arithmetic number, because the mean of its divisors is an integer number (2307021990).

Almost surely, 2129966282666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129966282666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166105583280).

129966282666 is an abundant number, since it is smaller than the sum of its proper divisors (202244883894).

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

129966282666 is a wasteful number, since it uses less digits than its factorization.

129966282666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42881 (or 42855 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 129966282666 in words is "one hundred twenty-nine billion, nine hundred sixty-six million, two hundred eighty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 29 33 46 58 66 69 87 99 138 174 198 207 253 261 319 414 506 522 529 638 667 759 957 1058 1334 1518 1587 1914 2001 2277 2871 3174 4002 4554 4761 5742 5819 6003 7337 9522 11638 12006 14674 15341 17457 22011 30682 34914 42787 44022 46023 52371 66033 85574 92046 104742 128361 132066 138069 168751 256722 276138 337502 385083 470657 506253 770166 941314 984101 1012506 1240823 1411971 1518759 1968202 2481646 2823942 2952303 3037518 3722469 4235913 5904606 7444938 8471826 8856909 10825111 11167407 13649053 17713818 21650222 22334814 22634323 27298106 28538929 32475333 40947159 45268646 57077858 64950666 67902969 81894318 85616787 97425999 122841477 135805938 171233574 194851998 203708907 245682954 248977553 256850361 313928219 407417814 497955106 513700722 627856438 656395367 746932659 941784657 1312790734 1493865318 1883569314 1969186101 2240797977 2825353971 3938372202 4481595954 5650707942 5907558303 7220349037 11815116606 14440698074 21661047111 43322094222 64983141333 129966282666