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11644006264 = 23113713127299
BaseRepresentation
bin10101101100000100…
…10110111101111000
31010001111020210202021
422312002112331320
5142321331200024
65203231244224
7561356264062
oct126602267570
933044223667
1011644006264
114a35813280
12230b679674
131137490447
147c6630732
154823a0de4
hex2b6096f78

11644006264 has 64 divisors (see below), whose sum is σ = 24648624000. Its totient is φ = 5110185600.

The previous prime is 11644006261. The next prime is 11644006271. The reversal of 11644006264 is 46260044611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11644006261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412887 + ... + 440185.

It is an arithmetic number, because the mean of its divisors is an integer number (385134750).

Almost surely, 211644006264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11644006264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312000).

11644006264 is an abundant number, since it is smaller than the sum of its proper divisors (13004617736).

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

11644006264 is a wasteful number, since it uses less digits than its factorization.

11644006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27484 (or 27480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 11644006264 in words is "eleven billion, six hundred forty-four million, six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 37 44 74 88 131 148 262 296 407 524 814 1048 1441 1628 2882 3256 4847 5764 9694 11528 19388 27299 38776 53317 54598 106634 109196 213268 218392 300289 426536 600578 1010063 1201156 2020126 2402312 3576169 4040252 7152338 8080504 11110693 14304676 22221386 28609352 39337859 44442772 78675718 88885544 132318253 157351436 264636506 314702872 529273012 1058546024 1455500783 2911001566 5822003132 11644006264