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243387783342 = 233112637272143
BaseRepresentation
bin1110001010101100001…
…0101101100010101110
3212021020010001110002000
43202223002231202232
512441424233031332
6303451044513130
723404243011114
oct3425302554256
9767203043060
10243387783342
1194247070a90
123b2060ab7a6
1319c4a20aa62
14bacc599ab4
1564e759db7c
hex38ab0ad8ae

243387783342 has 128 divisors (see below), whose sum is σ = 593365893120. Its totient is φ = 73338138720.

The previous prime is 243387783337. The next prime is 243387783371.

It is a happy number.

243387783342 is nontrivially palindromic in base 10.

243387783342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2433877833422 (a number of 24 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 113572323 + ... + 113574465.

It is an arithmetic number, because the mean of its divisors is an integer number (4635671040).

Almost surely, 2243387783342 is an apocalyptic number.

243387783342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243387783342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296682946560).

243387783342 is an abundant number, since it is smaller than the sum of its proper divisors (349978109778).

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

243387783342 is a wasteful number, since it uses less digits than its factorization.

243387783342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3149 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 243387783342 in words is "two hundred forty-three billion, three hundred eighty-seven million, seven hundred eighty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 263 297 526 594 727 789 1454 1578 2143 2181 2367 2893 4286 4362 4734 5786 6429 6543 7101 7997 8679 12858 13086 14202 15994 17358 19287 19629 23573 23991 26037 38574 39258 47146 47982 52074 57861 70719 71973 78111 115722 141438 143946 156222 191201 212157 215919 382402 424314 431838 563609 573603 636471 1127218 1147206 1272942 1557961 1690827 1720809 2103211 3115922 3381654 3441618 4206422 4673883 5072481 5162427 6199699 6309633 9347766 10144962 10324854 12399398 12619266 14021649 15217443 17137571 18599097 18928899 28043298 30434886 34275142 37198194 37857798 42064947 51412713 55797291 56786697 84129894 102825426 111594582 113573394 154238139 167391873 308476278 334783746 409743743 462714417 819487486 925428834 1229231229 2458462458 3687693687 4507181173 7375387374 9014362346 11063081061 13521543519 22126162122 27043087038 40564630557 81129261114 121693891671 243387783342