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242073782520 = 23352017281521
BaseRepresentation
bin1110000101110010111…
…0001100100011111000
3212010211112112021210220
43201130232030203320
512431231342020040
6303112425140040
723326546125663
oct3413456144370
9763745467726
10242073782520
1193732380799
123aaba02a620
1319a9ac1018b
14ba05c726da
15646c0452d0
hex385cb8c8f8

242073782520 has 32 divisors (see below), whose sum is σ = 726221347920. Its totient is φ = 64553008640.

The previous prime is 242073782399. The next prime is 242073782557. The reversal of 242073782520 is 25287370242.

242073782520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 1008640641 + ... + 1008640880.

Almost surely, 2242073782520 is an apocalyptic number.

242073782520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242073782520 is an abundant number, since it is smaller than the sum of its proper divisors (484147565400).

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

242073782520 is a wasteful number, since it uses less digits than its factorization.

242073782520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017281535 (or 2017281531 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 242073782520 in words is "two hundred forty-two billion, seventy-three million, seven hundred eighty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2017281521 4034563042 6051844563 8069126084 10086407605 12103689126 16138252168 20172815210 24207378252 30259222815 40345630420 48414756504 60518445630 80691260840 121036891260 242073782520