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11316929940 = 22325531736857
BaseRepresentation
bin10101000101000101…
…01010010110010100
31002012200210121101100
422202202222112110
5141134113224230
65110545030100
7550305213561
oct124242522624
932180717340
1011316929940
114888125a68
12223a025330
1310b47a2364
1479500d868
154637e4660
hex2a28aa594

11316929940 has 144 divisors (see below), whose sum is σ = 35183021328. Its totient is φ = 2943363072.

The previous prime is 11316929933. The next prime is 11316929951. The reversal of 11316929940 is 4992961311.

11316929940 is a `hidden beast` number, since 1 + 1 + 316 + 9 + 299 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 49956624 + 11266973316 = 7068^2 + 106146^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646992 + ... + 1653848.

It is an arithmetic number, because the mean of its divisors is an integer number (244326537).

Almost surely, 211316929940 is an apocalyptic number.

11316929940 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 11316929940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17591510664).

11316929940 is an abundant number, since it is smaller than the sum of its proper divisors (23866091388).

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

11316929940 is a wasteful number, since it uses less digits than its factorization.

11316929940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7093 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 11316929940 in words is "eleven billion, three hundred sixteen million, nine hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 173 180 212 265 318 346 477 519 530 636 692 795 865 954 1038 1060 1557 1590 1730 1908 2076 2385 2595 3114 3180 3460 4770 5190 6228 6857 7785 9169 9540 10380 13714 15570 18338 20571 27428 27507 31140 34285 36676 41142 45845 55014 61713 68570 82284 82521 91690 102855 110028 123426 137140 137535 165042 183380 205710 246852 275070 308565 330084 363421 411420 412605 550140 617130 726842 825210 1090263 1186261 1234260 1453684 1650420 1817105 2180526 2372522 3270789 3558783 3634210 4361052 4745044 5451315 5931305 6541578 7117566 7268420 10676349 10902630 11862610 13083156 14235132 16353945 17793915 21352698 21805260 23725220 32707890 35587830 42705396 53381745 62871833 65415780 71175660 106763490 125743666 188615499 213526980 251487332 314359165 377230998 565846497 628718330 754461996 943077495 1131692994 1257436660 1886154990 2263385988 2829232485 3772309980 5658464970 11316929940