Search a number
-
+
11476007310 = 2352913190813
BaseRepresentation
bin10101011000000010…
…11111100110001110
31002121210010120111210
422230001133212032
5142000324213220
65134430355250
7554246311155
oct125401374616
932553116453
1011476007310
1149599a8169
12228335bb26
13110b72bb91
147ac1bc59c
154727686e0
hex2ac05f98e

11476007310 has 32 divisors (see below), whose sum is σ = 28492158240. Its totient is φ = 2954741888.

The previous prime is 11476007293. The next prime is 11476007363. The reversal of 11476007310 is 1370067411.

11476007310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114760073102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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, 6594537 + ... + 6596276.

It is an arithmetic number, because the mean of its divisors is an integer number (890379945).

Almost surely, 211476007310 is an apocalyptic number.

11476007310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11476007310 is an abundant number, since it is smaller than the sum of its proper divisors (17016150930).

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

11476007310 is a wasteful number, since it uses less digits than its factorization.

11476007310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13190852.

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11476007310 in words is "eleven billion, four hundred seventy-six million, seven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 13190813 26381626 39572439 65954065 79144878 131908130 197862195 382533577 395724390 765067154 1147600731 1912667885 2295201462 3825335770 5738003655 11476007310