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1366071853806 = 2321159961912157
BaseRepresentation
bin10011111000010000001…
…110100100001011101110
311211121001220012101112200
4103320100032210023232
5134340203343310211
62523321552442330
7200460351111642
oct23702016441356
94747056171480
101366071853806
11487390a47950
121a09068493a6
139ba8778a91a
144a1925d2c22
1525804755b56
hex13e103a42ee

1366071853806 has 96 divisors (see below), whose sum is σ = 3284235676800. Its totient is φ = 406869099840.

The previous prime is 1366071853793. The next prime is 1366071853843. The reversal of 1366071853806 is 6083581706631.

1366071853806 is a `hidden beast` number, since 1 + 36 + 6 + 0 + 71 + 8 + 538 + 0 + 6 = 666.

It is a super-2 number, since 2×13660718538062 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112363080 + ... + 112375236.

It is an arithmetic number, because the mean of its divisors is an integer number (34210788300).

Almost surely, 21366071853806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366071853806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642117838400).

1366071853806 is an abundant number, since it is smaller than the sum of its proper divisors (1918163822994).

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

1366071853806 is a wasteful number, since it uses less digits than its factorization.

1366071853806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21854 (or 21851 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1366071853806 in words is "one trillion, three hundred sixty-six billion, seventy-one million, eight hundred fifty-three thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 9619 11682 12157 19238 24314 28857 36471 57714 72942 86571 105809 109413 133727 173142 211618 218826 267454 317427 401181 567521 634854 717263 802362 952281 1135042 1203543 1434526 1702563 1904562 2151789 2407086 3405126 4303578 5107689 6242731 6455367 7889893 10215378 12485462 12910734 15779786 18728193 23669679 37456386 47339358 56184579 71009037 112369158 116938183 142018074 233876366 350814549 701629098 1052443647 1286320013 2104887294 2572640026 3858960039 6899352797 7717920078 11576880117 13798705594 20698058391 23153760234 41396116782 62094175173 75892880767 124188350346 151785761534 227678642301 455357284602 683035926903 1366071853806