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242552417157 = 32831632837039
BaseRepresentation
bin1110000111100101000…
…0000010101110000101
3212012001220011110002200
43201321100002232011
512433221404322112
6303232124025113
723344450346151
oct3417120025605
9765056143080
10242552417157
1193958575006
123b012392199
1319b4612453b
14ba4d666061
15649908ccdc
hex3879402b85

242552417157 has 48 divisors (see below), whose sum is σ = 358061383680. Its totient is φ = 158189804064.

The previous prime is 242552417087. The next prime is 242552417171. The reversal of 242552417157 is 751714255242.

It is a happy number.

242552417157 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 524 + 1 + 71 + 57 = 666.

It is a de Polignac number, because none of the positive numbers 2k-242552417157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242552417557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34454844 + ... + 34461882.

It is an arithmetic number, because the mean of its divisors is an integer number (7459612160).

Almost surely, 2242552417157 is an apocalyptic number.

It is an amenable number.

242552417157 is a deficient number, since it is larger than the sum of its proper divisors (115508966523).

242552417157 is a wasteful number, since it uses less digits than its factorization.

242552417157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7574 (or 7571 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The spelling of 242552417157 in words is "two hundred forty-two billion, five hundred fifty-two million, four hundred seventeen thousand, one hundred fifty-seven".

Divisors: 1 3 9 83 163 249 283 489 747 849 1467 2547 7039 13529 21117 23489 40587 46129 63351 70467 121761 138387 211401 415161 584237 1147357 1752711 1992037 3442071 3828707 5258133 5976111 10326213 11486121 17928333 34458363 95230631 165339071 285691893 324702031 496017213 857075679 974106093 1488051639 2922318279 26950268573 80850805719 242552417157