Search a number
-
+
45760141071 = 32291210914479
BaseRepresentation
bin101010100111100001…
…000101011100001111
311101010002210000120200
4222213201011130033
51222204044003241
633004422344543
73206656532001
oct524741053417
9141102700520
1045760141071
1118452452307
128a50b8b153
134413549768
1423015c0371
1512cc5404b6
hexaa784570f

45760141071 has 24 divisors (see below), whose sum is σ = 68387592000. Its totient is φ = 29450336832.

The previous prime is 45760141057. The next prime is 45760141099. The reversal of 45760141071 is 17014106754.

45760141071 is a `hidden beast` number, since 4 + 5 + 7 + 601 + 41 + 0 + 7 + 1 = 666.

45760141071 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 45760141071 - 213 = 45760132879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45760141771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3153210 + ... + 3167688.

It is an arithmetic number, because the mean of its divisors is an integer number (2849483000).

Almost surely, 245760141071 is an apocalyptic number.

45760141071 is a deficient number, since it is larger than the sum of its proper divisors (22627450929).

45760141071 is a wasteful number, since it uses less digits than its factorization.

45760141071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26623 (or 26620 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 45760141071 in words is "forty-five billion, seven hundred sixty million, one hundred forty-one thousand, seventy-one".

Divisors: 1 3 9 29 87 261 12109 14479 36327 43437 108981 130311 351161 419891 1053483 1259673 3160449 3779019 175326211 525978633 1577935899 5084460119 15253380357 45760141071