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42586962371128 = 23729228711466331
BaseRepresentation
bin10011010111011100011001…
…10000111010001000111000
312120210021101122000202012101
421223232030300322020320
521040221044331334003
6230324102545553144
711653543425301030
oct1153561460721070
9176707348022171
1042586962371128
111262a03602295a
12493977b6457b4
131a9bc19671126
14a7331188a8c0
154dcbb818111d
hex26bb8cc3a238

42586962371128 has 64 divisors (see below), whose sum is σ = 94445883417600. Its totient is φ = 17614484415360.

The previous prime is 42586962371089. The next prime is 42586962371131. The reversal of 42586962371128 is 82117326968524.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42586962371128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2019078 + ... + 9447253.

It is an arithmetic number, because the mean of its divisors is an integer number (1475716928400).

Almost surely, 242586962371128 is an apocalyptic number.

It is an amenable number.

42586962371128 is an abundant number, since it is smaller than the sum of its proper divisors (51858921046472).

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

42586962371128 is a wasteful number, since it uses less digits than its factorization.

42586962371128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11468660 (or 11468656 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 64.

The spelling of 42586962371128 in words is "forty-two trillion, five hundred eighty-six billion, nine hundred sixty-two million, three hundred seventy-one thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2287 4574 9148 16009 18296 32018 64036 66323 128072 132646 265292 464261 530584 928522 1857044 3714088 11466331 22932662 45865324 80264317 91730648 160528634 321057268 332523599 642114536 665047198 1330094396 2327665193 2660188792 4655330386 9310660772 18621321544 26223498997 52446997994 104893995988 183564492979 209787991976 367128985958 734257971916 760481470913 1468515943832 1520962941826 3041925883652 5323370296391 6083851767304 10646740592782 21293481185564 42586962371128