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242642534505 = 35717245717497
BaseRepresentation
bin1110000111111010011…
…1110100000001101001
3212012022011201212212020
43201332213310001221
512433412442101010
6303245103335053
723346623341020
oct3417647640151
9765264655766
10242642534505
11939a4426558
123b0385b1489
1319b5b9b7a07
14ba5b6038b7
1564a1e3e470
hex387e9f4069

242642534505 has 96 divisors (see below), whose sum is σ = 472382167296. Its totient is φ = 104163065856.

The previous prime is 242642534503. The next prime is 242642534513. The reversal of 242642534505 is 505435246242.

It is not a de Polignac number, because 242642534505 - 21 = 242642534503 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242642534503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13858917 + ... + 13876413.

It is an arithmetic number, because the mean of its divisors is an integer number (4920647576).

Almost surely, 2242642534505 is an apocalyptic number.

It is an amenable number.

242642534505 is a deficient number, since it is larger than the sum of its proper divisors (229739632791).

242642534505 is a wasteful number, since it uses less digits than its factorization.

242642534505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18003 (or 17986 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 242642534505 in words is "two hundred forty-two billion, six hundred forty-two million, five hundred thirty-four thousand, five hundred five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 289 357 457 595 867 1371 1445 1785 2023 2285 3199 4335 6069 6855 7769 9597 10115 15995 17497 23307 30345 38845 47985 52491 54383 87485 116535 122479 132073 163149 262455 271915 297449 367437 396219 612395 660365 815745 892347 924511 1487245 1837185 1981095 2082143 2773533 4461735 4622555 5056633 6246429 7996129 10410715 13867665 15169899 23988387 25283165 31232145 35396431 39980645 55972903 75849495 106189293 119941935 135934193 167918709 176982155 279864515 407802579 530946465 679670965 839593545 951539351 2039012895 2310881281 2854618053 4757696755 6932643843 11554406405 14273090265 16176168967 34663219215 48528506901 80880844835 242642534505