Search a number
-
+
152517045303 = 3272420905481
BaseRepresentation
bin1000111000001010111…
…0010110110000110111
3112120200011201122220200
42032002232112300313
54444323330422203
6154022041331543
714006341331520
oct2160256266067
9476604648820
10152517045303
1159755994587
1225685796bb3
13114c7b9918c
14754bb9b847
153e79a759a3
hex2382b96c37

152517045303 has 12 divisors (see below), whose sum is σ = 251774170128. Its totient is φ = 87152597280.

The previous prime is 152517045301. The next prime is 152517045323. The reversal of 152517045303 is 303540715251.

152517045303 is a `hidden beast` number, since 1 + 5 + 2 + 51 + 70 + 4 + 530 + 3 = 666.

152517045303 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 152517045303 - 21 = 152517045301 is a prime.

It is a super-2 number, since 2×1525170453032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152517045301) 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 11 ways as a sum of consecutive naturals, for example, 1210452678 + ... + 1210452803.

It is an arithmetic number, because the mean of its divisors is an integer number (20981180844).

Almost surely, 2152517045303 is an apocalyptic number.

152517045303 is a deficient number, since it is larger than the sum of its proper divisors (99257124825).

152517045303 is a wasteful number, since it uses less digits than its factorization.

152517045303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420905494 (or 2420905491 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 152517045303 in words is "one hundred fifty-two billion, five hundred seventeen million, forty-five thousand, three hundred three".

Divisors: 1 3 7 9 21 63 2420905481 7262716443 16946338367 21788149329 50839015101 152517045303