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242011626465 = 357350992413
BaseRepresentation
bin1110000101100100000…
…1000101101111100001
3212010200012120102201210
43201121001011233201
512431114434021330
6303102325020333
723325162612000
oct3413101055741
9763605512653
10242011626465
1193700287a54
123aaa12546a9
1319a8b089a4b
14b9db8d2c37
1564668688b0
hex3859045be1

242011626465 has 64 divisors (see below), whose sum is σ = 452458944000. Its totient is φ = 110415336192.

The previous prime is 242011626433. The next prime is 242011626469. The reversal of 242011626465 is 564626110242.

It is not a de Polignac number, because 242011626465 - 25 = 242011626433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242011626469) 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 63 ways as a sum of consecutive naturals, for example, 2572599 + ... + 2665011.

It is an arithmetic number, because the mean of its divisors is an integer number (7069671000).

Almost surely, 2242011626465 is an apocalyptic number.

It is an amenable number.

242011626465 is a deficient number, since it is larger than the sum of its proper divisors (210447317535).

242011626465 is an equidigital number, since it uses as much as digits as its factorization.

242011626465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92951 (or 92937 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 242011626465 in words is "two hundred forty-two billion, eleven million, six hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 3 5 7 15 21 35 49 105 147 245 343 509 735 1029 1527 1715 2545 3563 5145 7635 10689 17815 24941 53445 74823 92413 124705 174587 277239 374115 462065 523761 646891 872935 1386195 1940673 2618805 3234455 4528237 9703365 13584711 22641185 31697659 47038217 67923555 95092977 141114651 158488295 235191085 329267519 475464885 705573255 987802557 1646337595 2304872633 4939012785 6914617899 11524363165 16134108431 34573089495 48402325293 80670542155 242011626465