Search a number
-
+
468460153374 = 231910177403783
BaseRepresentation
bin1101101000100100110…
…01101010101000011110
31122210011210102111101220
412310102121222220132
530133401244401444
6555112502514210
745562610413623
oct6642231525036
91583153374356
10468460153374
111707445a8954
127695a435966
1335238a51935
14189604a234a
15c2bbc3d619
hex6d1266aa1e

468460153374 has 32 divisors (see below), whose sum is σ = 986331252480. Its totient is φ = 147919882752.

The previous prime is 468460153331. The next prime is 468460153453. The reversal of 468460153374 is 473351064864.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 958287 + ... + 1362069.

It is an arithmetic number, because the mean of its divisors is an integer number (30822851640).

Almost surely, 2468460153374 is an apocalyptic number.

468460153374 is an abundant number, since it is smaller than the sum of its proper divisors (517871099106).

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

468460153374 is a wasteful number, since it uses less digits than its factorization.

468460153374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413984.

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 468460153374 in words is "four hundred sixty-eight billion, four hundred sixty million, one hundred fifty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 19 38 57 114 10177 20354 30531 61062 193363 386726 403783 580089 807566 1160178 1211349 2422698 7671877 15343754 23015631 46031262 4109299591 8218599182 12327898773 24655797546 78076692229 156153384458 234230076687 468460153374