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11364266676 = 2237414770207
BaseRepresentation
bin10101001010101110…
…01111001010110100
31002022222212120011210
422211113033022310
5141233223013201
65115355401420
7551421446550
oct124527171264
932288776153
1011364266676
114901917834
122251a53270
1310c1537469
1479b412860
15467a451d6
hex2a55cf2b4

11364266676 has 96 divisors (see below), whose sum is σ = 31704809472. Its totient is φ = 3100296960.

The previous prime is 11364266671. The next prime is 11364266677. The reversal of 11364266676 is 67666246311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364266671) 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, 126765 + ... + 196971.

It is an arithmetic number, because the mean of its divisors is an integer number (330258432).

Almost surely, 211364266676 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 11364266676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852404736).

11364266676 is an abundant number, since it is smaller than the sum of its proper divisors (20340542796).

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

11364266676 is a wasteful number, since it uses less digits than its factorization.

11364266676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70309 (or 70307 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The spelling of 11364266676 in words is "eleven billion, three hundred sixty-four million, two hundred sixty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 47 82 84 94 123 141 164 188 246 282 287 329 492 564 574 658 861 987 1148 1316 1722 1927 1974 3444 3854 3948 5781 7708 11562 13489 23124 26978 40467 53956 70207 80934 140414 161868 210621 280828 421242 491449 842484 982898 1474347 1965796 2878487 2948694 3299729 5756974 5897388 6599458 8635461 9899187 11513948 13198916 17270922 19798374 20149409 23098103 34541844 39596748 40298818 46196206 60448227 69294309 80597636 92392412 120896454 135288889 138588618 241792908 270577778 277177236 405866667 541155556 811733334 947022223 1623466668 1894044446 2841066669 3788088892 5682133338 11364266676