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11664332460 = 22325115891077
BaseRepresentation
bin10101101110011111…
…11001011010101100
31010002220111111001100
422313033321122230
5142342032114320
65205235043100
7562024122114
oct126717713254
933086444040
1011664332460
114a46236690
122316440490
13113b759191
147c9202044
15484068790
hex2b73f96ac

11664332460 has 72 divisors (see below), whose sum is σ = 38598343056. Its totient is φ = 2827716480.

The previous prime is 11664332443. The next prime is 11664332467. The reversal of 11664332460 is 6423346611.

11664332460 is a `hidden beast` number, since 1 + 1 + 6 + 643 + 3 + 2 + 4 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11664332467) 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, 2943559 + ... + 2947518.

It is an arithmetic number, because the mean of its divisors is an integer number (536088098).

Almost surely, 211664332460 is an apocalyptic number.

11664332460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11664332460 is an abundant number, since it is smaller than the sum of its proper divisors (26934010596).

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

11664332460 is a wasteful number, since it uses less digits than its factorization.

11664332460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5891103 (or 5891098 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 11664332460 in words is "eleven billion, six hundred sixty-four million, three hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5891077 11782154 17673231 23564308 29455385 35346462 53019693 58910770 64801847 70692924 88366155 106039386 117821540 129603694 176732310 194405541 212078772 259207388 265098465 324009235 353464620 388811082 530196930 583216623 648018470 777622164 972027705 1060393860 1166433246 1296036940 1944055410 2332866492 2916083115 3888110820 5832166230 11664332460