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66729237912 = 23341974631129
BaseRepresentation
bin111110001001010111…
…110101110110011000
320101020110211111210000
4332021113311312120
52043130141103122
650353251053000
74551420110061
oct761127656630
9211213744700
1066729237912
1126332a08107
1210b235a1160
1363a593147c
14333048b568
151b083d60ac
hexf895f5d98

66729237912 has 160 divisors (see below), whose sum is σ = 188424878400. Its totient is φ = 22062813696.

The previous prime is 66729237889. The next prime is 66729237917. The reversal of 66729237912 is 21973292766.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66729237917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59104164 + ... + 59105292.

It is an arithmetic number, because the mean of its divisors is an integer number (1177655490).

Almost surely, 266729237912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66729237912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212439200).

66729237912 is an abundant number, since it is smaller than the sum of its proper divisors (121695640488).

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

66729237912 is a wasteful number, since it uses less digits than its factorization.

66729237912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1794 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 66729237912 in words is "sixty-six billion, seven hundred twenty-nine million, two hundred thirty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 197 216 324 394 463 591 648 788 926 1129 1182 1389 1576 1773 1852 2258 2364 2778 3387 3546 3704 4167 4516 4728 5319 5556 6774 7092 8334 9032 10161 10638 11112 12501 13548 14184 15957 16668 20322 21276 25002 27096 30483 31914 33336 37503 40644 42552 50004 60966 63828 75006 81288 91211 91449 100008 121932 127656 150012 182422 182898 222413 243864 273633 300024 364844 365796 444826 522727 547266 667239 729688 731592 820899 889652 1045454 1094532 1334478 1568181 1641798 1779304 2001717 2090908 2189064 2462697 2668956 3136362 3283596 4003434 4181816 4704543 4925394 5337912 6005151 6272724 6567192 7388091 8006868 9409086 9850788 12010302 12545448 14113629 14776182 16013736 18015453 18818172 19701576 24020604 28227258 29552364 36030906 37636344 42340887 48041208 56454516 59104728 72061812 84681774 102977219 112909032 144123624 169363548 205954438 308931657 338727096 411908876 617863314 823817752 926794971 1235726628 1853589942 2471453256 2780384913 3707179884 5560769826 7414359768 8341154739 11121539652 16682309478 22243079304 33364618956 66729237912