Search a number
-
+
11343532464 = 2433112387107
BaseRepresentation
bin10101001000010000…
…01001000110110000
31002021112212011012000
422210020021012300
5141212421014324
65113335134000
7551050302135
oct124410110660
932245764160
1011343532464
1148a1145920
122246b14300
1310ba157ab4
1479877658c
15465ceb9c9
hex2a42091b0

11343532464 has 80 divisors (see below), whose sum is σ = 35520167040. Its totient is φ = 3437432640.

The previous prime is 11343532441. The next prime is 11343532477. The reversal of 11343532464 is 46423534311.

11343532464 is a `hidden beast` number, since 1 + 134 + 35 + 32 + 464 = 666.

It is a super-2 number, since 2×113435324642 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188802 + ... + 1198305.

It is an arithmetic number, because the mean of its divisors is an integer number (444002088).

Almost surely, 211343532464 is an apocalyptic number.

It is an amenable number.

11343532464 is an abundant number, since it is smaller than the sum of its proper divisors (24176634576).

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

11343532464 is a wasteful number, since it uses less digits than its factorization.

11343532464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387135 (or 2387123 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 11343532464 in words is "eleven billion, three hundred forty-three million, five hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 2387107 4774214 7161321 9548428 14322642 19096856 21483963 26258177 28645284 38193712 42967926 52516354 57290568 64451889 78774531 85935852 105032708 114581136 128903778 157549062 171871704 210065416 236323593 257807556 315098124 343743408 420130832 472647186 515615112 630196248 708970779 945294372 1031230224 1260392496 1417941558 1890588744 2835883116 3781177488 5671766232 11343532464