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1266564100164 = 2231133137397753
BaseRepresentation
bin10010011011100101000…
…110100111000001000100
311111002020000210202100120
4102123211012213001010
5131222410402201124
62405503532141540
7160335432135006
oct22334506470104
94432200722316
101266564100164
11449168462820
121855759078b0
1392589c4a01c
1445432aaa376
1522e2d851d79
hex126e51a7044

1266564100164 has 96 divisors (see below), whose sum is σ = 3235003537920. Its totient is φ = 382496083200.

The previous prime is 1266564100157. The next prime is 1266564100187. The reversal of 1266564100164 is 4610014656621.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 163360512 + ... + 163368264.

It is an arithmetic number, because the mean of its divisors is an integer number (33697953520).

Almost surely, 21266564100164 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 1266564100164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617501768960).

1266564100164 is an abundant number, since it is smaller than the sum of its proper divisors (1968439437756).

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

1266564100164 is a wasteful number, since it uses less digits than its factorization.

1266564100164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11841 (or 11839 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

Adding to 1266564100164 its reverse (4610014656621), we get a palindrome (5876578756785).

The spelling of 1266564100164 in words is "one trillion, two hundred sixty-six billion, five hundred sixty-four million, one hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 331 662 993 1324 1986 3641 3739 3972 7282 7478 7753 10923 11217 14564 14956 15506 21846 22434 23259 31012 41129 43692 44868 46518 82258 85283 93036 123387 164516 170566 246774 255849 341132 493548 511698 1023396 1237609 2475218 2566243 3712827 4950436 5132486 7425654 7698729 10264972 13613699 14851308 15397458 27227398 28228673 28988467 30794916 40841097 54454796 56457346 57976934 81682194 84686019 86965401 112914692 115953868 163364388 169372038 173930802 318873137 338744076 347861604 637746274 956619411 1275492548 1913238822 3826477644 9595182577 19190365154 28785547731 38380730308 57571095462 105547008347 115142190924 211094016694 316641025041 422188033388 633282050082 1266564100164