Search a number
-
+
46314122364 = 22321498634251
BaseRepresentation
bin101011001000100010…
…010110110001111100
311102112201012012001100
4223020202112301330
51224322403403424
633135412213100
73226464354546
oct531042266174
9142481165040
1046314122364
1118707129694
128b8660a190
1344a1252143
142354dc8696
151310ebcdc9
hexac8896c7c

46314122364 has 36 divisors (see below), whose sum is σ = 117857539800. Its totient is φ = 15334428000.

The previous prime is 46314122243. The next prime is 46314122377. The reversal of 46314122364 is 46322141364.

46314122364 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 412 + 236 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 4311762 + ... + 4322489.

It is an arithmetic number, because the mean of its divisors is an integer number (3273820550).

Almost surely, 246314122364 is an apocalyptic number.

It is an amenable number.

46314122364 is an abundant number, since it is smaller than the sum of its proper divisors (71543417436).

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

46314122364 is a wasteful number, since it uses less digits than its factorization.

46314122364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634410 (or 8634405 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 46314122364 in words is "forty-six billion, three hundred fourteen million, one hundred twenty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 8634251 17268502 25902753 34537004 51805506 77708259 103611012 155416518 310833036 1286503399 2573006798 3859510197 5146013596 7719020394 11578530591 15438040788 23157061182 46314122364