Search a number
-
+
242073504577 = 5092026123473
BaseRepresentation
bin1110000101110010110…
…1001000101101000001
3212010211112000011112201
43201130231020231001
512431231304121302
6303112415153201
723326543560442
oct3413455105501
9763745004481
10242073504577
1193732200993
123aab9b15801
1319a9ab43808
14ba05bdd2c9
15646bedcc87
hex385cb48b41

242073504577 has 8 divisors (see below), whose sum is σ = 242571395880. Its totient is φ = 241575701760.

The previous prime is 242073504551. The next prime is 242073504601. The reversal of 242073504577 is 775405370242.

It can be written as a sum of positive squares in 4 ways, for example, as 69253711921 + 172819792656 = 263161^2 + 415716^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242073504577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242073504377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10301113 + ... + 10324585.

It is an arithmetic number, because the mean of its divisors is an integer number (30321424485).

Almost surely, 2242073504577 is an apocalyptic number.

It is an amenable number.

242073504577 is a deficient number, since it is larger than the sum of its proper divisors (497891303).

242073504577 is a wasteful number, since it uses less digits than its factorization.

242073504577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44243.

The product of its (nonzero) digits is 1646400, while the sum is 46.

The spelling of 242073504577 in words is "two hundred forty-two billion, seventy-three million, five hundred four thousand, five hundred seventy-seven".

Divisors: 1 509 20261 23473 10312849 11947757 475586453 242073504577