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242534553504 = 2532526401599
BaseRepresentation
bin1110000111100000101…
…1111001011110100000
3212012000122112212202220
43201320023321132200
512433202321203004
6303230245111040
723344142455425
oct3417013713640
9765018485686
10242534553504
1193949483861
123b0083b8480
1319b4250b629
14ba4b135d4c
15649770edd9
hex38782f97a0

242534553504 has 24 divisors (see below), whose sum is σ = 636653203200. Its totient is φ = 80844851136.

The previous prime is 242534553431. The next prime is 242534553511. The reversal of 242534553504 is 405355435242.

242534553504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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 3 ways as a sum of consecutive naturals, for example, 1263200704 + ... + 1263200895.

It is an arithmetic number, because the mean of its divisors is an integer number (26527216800).

Almost surely, 2242534553504 is an apocalyptic number.

242534553504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242534553504 is an abundant number, since it is smaller than the sum of its proper divisors (394118649696).

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

242534553504 is a wasteful number, since it uses less digits than its factorization.

242534553504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526401612 (or 2526401604 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

Adding to 242534553504 its reverse (405355435242), we get a palindrome (647889988746).

The spelling of 242534553504 in words is "two hundred forty-two billion, five hundred thirty-four million, five hundred fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2526401599 5052803198 7579204797 10105606396 15158409594 20211212792 30316819188 40422425584 60633638376 80844851168 121267276752 242534553504