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266105435411442 = 231153179424992151
BaseRepresentation
bin111100100000010101111111…
…111100110101001111110010
31021220012102122022212222110110
4330200111333330311033302
5234334332412431131232
62341543052133442150
7110023324521216504
oct7440257774651762
91256172568788413
10266105435411442
1177875754a31a80
1225a19023aa0356
13b563833ac7b83
14499d80100dd74
1520b702e0c6acc
hexf2057ff353f2

266105435411442 has 64 divisors (see below), whose sum is σ = 594853015311360. Its totient is φ = 78674546808000.

The previous prime is 266105435411429. The next prime is 266105435411443. The reversal of 266105435411442 is 244114534501662.

It is a junction number, because it is equal to n+sod(n) for n = 266105435411391 and 266105435411400.

It is not an unprimeable number, because it can be changed into a prime (266105435411443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211869934 + ... + 213122217.

It is an arithmetic number, because the mean of its divisors is an integer number (9294578364240).

Almost surely, 2266105435411442 is an apocalyptic number.

266105435411442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

266105435411442 is an abundant number, since it is smaller than the sum of its proper divisors (328747579899918).

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

266105435411442 is a wasteful number, since it uses less digits than its factorization.

266105435411442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424992399.

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 266105435411442 in words is "two hundred sixty-six trillion, one hundred five billion, four hundred thirty-five million, four hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 53 66 106 159 179 318 358 537 583 1074 1166 1749 1969 3498 3938 5907 9487 11814 18974 28461 56922 104357 208714 313071 626142 424992151 849984302 1274976453 2549952906 4674913661 9349827322 14024740983 22524584003 28049481966 45049168006 67573752009 76073595029 135147504018 152147190058 228220785087 247770424033 456441570174 495540848066 743311272099 836809545319 1486622544198 1673619090638 2510428635957 4031900536537 5020857271914 8063801073074 12095701609611 24191403219222 44350905901907 88701811803814 133052717705721 266105435411442