Search a number
-
+
30257514668 = 221719231018223
BaseRepresentation
bin11100001011011111…
…010000100010101100
32220002200212000002102
4130023133100202230
5443431410432133
621522231314232
72120544426323
oct341337204254
986080760072
1030257514668
111191763a677
125a4521b978
132b12839044
14167071d0ba
15bc15447e8
hex70b7d08ac

30257514668 has 48 divisors (see below), whose sum is σ = 61582187520. Its totient is φ = 12902909184.

The previous prime is 30257514607. The next prime is 30257514673. The reversal of 30257514668 is 86641575203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 479396 + ... + 538827.

It is an arithmetic number, because the mean of its divisors is an integer number (1282962240).

Almost surely, 230257514668 is an apocalyptic number.

30257514668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

30257514668 is an abundant number, since it is smaller than the sum of its proper divisors (31324672852).

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

30257514668 is a wasteful number, since it uses less digits than its factorization.

30257514668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018286 (or 1018284 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 47.

The spelling of 30257514668 in words is "thirty billion, two hundred fifty-seven million, five hundred fourteen thousand, six hundred sixty-eight".

Divisors: 1 2 4 17 19 23 34 38 46 68 76 92 323 391 437 646 782 874 1292 1564 1748 7429 14858 29716 1018223 2036446 4072892 17309791 19346237 23419129 34619582 38692474 46838258 69239164 77384948 93676516 328886029 398125193 444963451 657772058 796250386 889926902 1315544116 1592500772 1779853804 7564378667 15128757334 30257514668