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242765874533 = 71331588114633
BaseRepresentation
bin1110001000010111111…
…0010100010101100101
3212012121202211012120102
43202011332110111211
512434141030441113
6303305231113445
723352651612650
oct3420576242545
9765552735512
10242765874533
1193a58009766
123b071972885
1319b7b410c90
14ba6db4c897
1564acba4758
hex3885f94565

242765874533 has 32 divisors (see below), whose sum is σ = 308500641792. Its totient is φ = 185838105600.

The previous prime is 242765874517. The next prime is 242765874551. The reversal of 242765874533 is 335478567242.

242765874533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242765874533 - 24 = 242765874517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242765874433) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16582985 + ... + 16597617.

It is an arithmetic number, because the mean of its divisors is an integer number (9640645056).

Almost surely, 2242765874533 is an apocalyptic number.

It is an amenable number.

242765874533 is a deficient number, since it is larger than the sum of its proper divisors (65734767259).

242765874533 is a wasteful number, since it uses less digits than its factorization.

242765874533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20565.

The product of its digits is 33868800, while the sum is 56.

The spelling of 242765874533 in words is "two hundred forty-two billion, seven hundred sixty-five million, eight hundred seventy-four thousand, five hundred thirty-three".

Divisors: 1 7 13 31 91 217 403 2821 5881 14633 41167 76453 102431 182311 190229 453623 535171 1276177 1331603 2370043 3175361 5897099 16590301 41279693 86056673 602396711 1118736749 2667756863 7831157243 18674298041 34680839219 242765874533