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382688221542 = 231141473008981
BaseRepresentation
bin1011001000110011111…
…11101101100101100110
31100120210012101220102220
411210121333231211212
522232221141042132
6451445440413210
736435241132464
oct5443177554546
91316705356386
10382688221542
1113832a584a80
1262201617206
132a119b84c53
1414744d25834
159e4bb87a2c
hex5919fed966

382688221542 has 64 divisors (see below), whose sum is σ = 873519510528. Its totient is φ = 110730464000.

The previous prime is 382688221523. The next prime is 382688221543. The reversal of 382688221542 is 245122886283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382688221543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1377309 + ... + 1631672.

It is an arithmetic number, because the mean of its divisors is an integer number (13648742352).

Almost surely, 2382688221542 is an apocalyptic number.

382688221542 is an abundant number, since it is smaller than the sum of its proper divisors (490831288986).

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

382688221542 is a wasteful number, since it uses less digits than its factorization.

382688221542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009085.

The product of its digits is 2949120, while the sum is 51.

The spelling of 382688221542 in words is "three hundred eighty-two billion, six hundred eighty-eight million, two hundred twenty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 47 66 82 94 123 141 246 282 451 517 902 1034 1353 1551 1927 2706 3102 3854 5781 11562 21197 42394 63591 127182 3008981 6017962 9026943 18053886 33098791 66197582 99296373 123368221 141422107 198592746 246736442 282844214 370104663 424266321 740209326 848532642 1357050431 1555643177 2714100862 3111286354 4071151293 4666929531 5798306387 8142302586 9333859062 11596612774 17394919161 34789838322 63781370257 127562740514 191344110771 382688221542