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1266112412466 = 231123126832657
BaseRepresentation
bin10010011011001010001…
…011100011101100110010
311111001001112212122022120
4102123022023203230302
5131220444234144331
62405351035015110
7160321305636156
oct22331213435462
94431045778276
101266112412466
11448a564a4100
1218546a59a496
13925174ac0b5
14453ccacd066
1522e03d7d796
hex126ca2e3b32

1266112412466 has 144 divisors (see below), whose sum is σ = 2881331411616. Its totient is φ = 370610803200.

The previous prime is 1266112412459. The next prime is 1266112412483. The reversal of 1266112412466 is 6642142116621.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 476518210 + ... + 476520866.

It is an arithmetic number, because the mean of its divisors is an integer number (20009245914).

Almost surely, 21266112412466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266112412466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440665705808).

1266112412466 is an abundant number, since it is smaller than the sum of its proper divisors (1615218999150).

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

1266112412466 is a wasteful number, since it uses less digits than its factorization.

1266112412466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3387 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 1266112412466 in words is "one trillion, two hundred sixty-six billion, one hundred twelve million, four hundred twelve thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 683 726 961 1023 1366 1922 2046 2049 2657 2883 3751 4098 5314 5766 7502 7513 7971 10571 11253 15026 15942 21142 21173 22506 22539 29227 31713 42346 45078 58454 63426 63519 82367 82643 87681 116281 127038 164734 165286 175362 232562 232903 247101 247929 321497 348843 465806 494202 495858 642994 656363 697686 698709 906037 964491 1312726 1397418 1812074 1814731 1928982 1969089 2553377 2561933 2718111 3629462 3938178 5106754 5123866 5436222 5444193 7219993 7660131 7685799 9966407 10888386 14439986 15320262 15371598 19932814 19962041 21659979 28087147 29899221 39924082 43319958 56174294 56256661 59798442 59886123 79419923 84261441 112513322 119772246 158839846 168522882 168769983 219582451 238259769 308958617 337539966 439164902 476519538 617917234 618823271 658747353 926875851 1237646542 1317494706 1743956491 1853751702 1856469813 3487912982 3712939626 5231869473 6807055981 10463738946 13614111962 19183521401 20421167943 38367042802 40842335886 57550564203 115101128406 211018735411 422037470822 633056206233 1266112412466