Search a number
-
+
152466232663304 = 23731412142101729
BaseRepresentation
bin100010101010101011001111…
…101000110101110100001000
3201222211121222220022220212022
4202222223033220311310020
5124441001321030211204
61300134004221104012
744054215243413260
oct4252531750656410
9658747886286768
10152466232663304
114464262560870a
1215124b889b8008
13670c672516b41
1429915955b67a0
151295ee37ed5be
hex8aaacfa35d08

152466232663304 has 64 divisors (see below), whose sum is σ = 345478167014400. Its totient is φ = 61692529766400.

The previous prime is 152466232663267. The next prime is 152466232663319. The reversal of 152466232663304 is 403366232664251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070979689 + ... + 1071122040.

It is an arithmetic number, because the mean of its divisors is an integer number (5398096359600).

Almost surely, 2152466232663304 is an apocalyptic number.

152466232663304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152466232663304 is an abundant number, since it is smaller than the sum of its proper divisors (193011934351096).

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

152466232663304 is a wasteful number, since it uses less digits than its factorization.

152466232663304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142101814 (or 2142101810 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 53.

The spelling of 152466232663304 in words is "one hundred fifty-two trillion, four hundred sixty-six billion, two hundred thirty-two million, six hundred sixty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 31 41 56 62 82 124 164 217 248 287 328 434 574 868 1148 1271 1736 2296 2542 5084 8897 10168 17794 35588 71176 2142101729 4284203458 8568406916 14994712103 17136813832 29989424206 59978848412 66405153599 87826170889 119957696824 132810307198 175652341778 265620614396 351304683556 464836075193 531241228792 614783196223 702609367112 929672150386 1229566392446 1859344300772 2459132784892 2722611297559 3718688601544 4918265569784 5445222595118 10890445190236 19058279082913 21780890380472 38116558165826 76233116331652 152466232663304