Search a number
-
+
11341446264 = 2332449335059
BaseRepresentation
bin10101001000000000…
…01011110001111000
31002021101221011110100
422210000023301320
5141211402240024
65113222315400
7551023463001
oct124400136170
932241834410
1011341446264
11489aa50495
122246288b60
1310b98a7365
147983921a8
15465a387c9
hex2a400bc78

11341446264 has 48 divisors (see below), whose sum is σ = 30724129800. Its totient is φ = 3779532864.

The previous prime is 11341446251. The next prime is 11341446271. The reversal of 11341446264 is 46264414311.

11341446264 is a `hidden beast` number, since 1 + 13 + 4 + 14 + 4 + 626 + 4 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305967 + ... + 341025.

Almost surely, 211341446264 is an apocalyptic number.

It is an amenable number.

11341446264 is an abundant number, since it is smaller than the sum of its proper divisors (19382683536).

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

11341446264 is a wasteful number, since it uses less digits than its factorization.

11341446264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39564 (or 39557 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 11341446264 in words is "eleven billion, three hundred forty-one million, four hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4493 8986 13479 17972 26958 35059 35944 40437 53916 70118 80874 105177 107832 140236 161748 210354 280472 315531 323496 420708 631062 841416 1262124 2524248 157520087 315040174 472560261 630080348 945120522 1260160696 1417680783 1890241044 2835361566 3780482088 5670723132 11341446264