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1111318910964 = 22324711337315583
BaseRepresentation
bin10000001010111111110…
…001001101011111110100
310221020111201121000120100
4100022333301031133310
5121201440120122324
62210311033034100
7143201342611653
oct20127761153764
93836451530510
101111318910964
1139934260a369
1215b46a555930
1380a48ac2222
143bb0687119a
151dd945374c9
hex102bfc4d7f4

1111318910964 has 144 divisors (see below), whose sum is σ = 2902271404032. Its totient is φ = 358363063296.

The previous prime is 1111318910941. The next prime is 1111318910971. The reversal of 1111318910964 is 4690198131111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71308317 + ... + 71323899.

It is an arithmetic number, because the mean of its divisors is an integer number (20154662528).

Almost surely, 21111318910964 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 1111318910964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451135702016).

1111318910964 is an abundant number, since it is smaller than the sum of its proper divisors (1790952493068).

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

1111318910964 is a wasteful number, since it uses less digits than its factorization.

1111318910964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16126 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 45.

The spelling of 1111318910964 in words is "one trillion, one hundred eleven billion, three hundred eighteen million, nine hundred ten thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 113 141 188 226 282 339 373 423 452 564 678 746 846 1017 1119 1356 1492 1692 2034 2238 3357 4068 4476 5311 6714 10622 13428 15583 15933 17531 21244 31166 31866 35062 42149 46749 47799 52593 62332 63732 70124 84298 93498 95598 105186 126447 140247 157779 168596 186996 191196 210372 252894 280494 315558 379341 505788 560988 631116 732401 758682 1464802 1517364 1760879 1981003 2197203 2929604 3521758 3962006 4394406 5282637 5812459 5943009 6591609 7043516 7924012 8788812 10565274 11624918 11886018 13183218 15847911 17437377 17829027 21130548 23249836 23772036 26366436 31695822 34874754 35658054 52312131 63391644 69749508 71316108 82761313 104624262 165522626 209248524 248283939 273185573 331045252 496567878 546371146 656807867 744851817 819556719 993135756 1092742292 1313615734 1489703634 1639113438 1970423601 2458670157 2627231468 2979407268 3278226876 3940847202 4917340314 5911270803 7881694404 9834680628 11822541606 23645083212 30869969749 61739939498 92609909247 123479878996 185219818494 277829727741 370439636988 555659455482 1111318910964