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11633904060 = 22351966115439
BaseRepresentation
bin10101101010110111…
…10100100110111100
31010000210020120010120
422311123310212330
5142311234412220
65202230534540
7561204360432
oct126533644674
933023216116
1011633904060
114a30043349
122308207450
1311353641cc
147c5160d52
15481557a40
hex2b56f49bc

11633904060 has 96 divisors (see below), whose sum is σ = 34343500800. Its totient is φ = 2934455040.

The previous prime is 11633904059. The next prime is 11633904067. The reversal of 11633904060 is 6040933611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11633904067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 745821 + ... + 761259.

It is an arithmetic number, because the mean of its divisors is an integer number (357744800).

Almost surely, 211633904060 is an apocalyptic number.

11633904060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11633904060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171750400).

11633904060 is an abundant number, since it is smaller than the sum of its proper divisors (22709596740).

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

11633904060 is a wasteful number, since it uses less digits than its factorization.

11633904060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16131 (or 16129 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 11633904060 in words is "eleven billion, six hundred thirty-three million, nine hundred four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 661 1140 1322 1983 2644 3305 3966 6610 7932 9915 12559 13220 15439 19830 25118 30878 37677 39660 46317 50236 61756 62795 75354 77195 92634 125590 150708 154390 185268 188385 231585 251180 293341 308780 376770 463170 586682 753540 880023 926340 1173364 1466705 1760046 2933410 3520092 4400115 5866820 8800230 10205179 17600460 20410358 30615537 40820716 51025895 61231074 102051790 122462148 153077685 193898401 204103580 306155370 387796802 581695203 612310740 775593604 969492005 1163390406 1938984010 2326780812 2908476015 3877968020 5816952030 11633904060