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11216441808 = 24321113544699
BaseRepresentation
bin10100111001000110…
…10101000111010000
31001221200201021120200
422130203111013100
5140432402114213
65052555135200
7544645116345
oct123443250720
931850637520
1011216441808
114836430820
122210444500
131099a1a620
147859327cc
15459a95273
hex29c8d51d0

11216441808 has 120 divisors (see below), whose sum is σ = 36878368800. Its totient is φ = 3137460480.

The previous prime is 11216441801. The next prime is 11216441827. The reversal of 11216441808 is 80814461211.

11216441808 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 644 + 1 + 8 + 0 + 8 = 666.

It is a super-3 number, since 3×112164418083 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216441801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251758 + ... + 292941.

It is an arithmetic number, because the mean of its divisors is an integer number (307319740).

Almost surely, 211216441808 is an apocalyptic number.

11216441808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11216441808 is an abundant number, since it is smaller than the sum of its proper divisors (25661926992).

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

11216441808 is a wasteful number, since it uses less digits than its factorization.

11216441808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544737 (or 544728 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 11216441808 in words is "eleven billion, two hundred sixteen million, four hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 544699 1089398 1634097 2178796 3268194 4357592 4902291 5991689 6536388 7081087 8715184 9804582 11983378 13072776 14162174 17975067 19609164 21243261 23966756 26145552 28324348 35950134 39218328 42486522 47933512 53925201 56648696 63729783 71900268 77891957 78436656 84973044 95867024 107850402 113297392 127459566 143800536 155783914 169946088 215700804 233675871 254919132 287601072 311567828 339892176 431401608 467351742 509838264 623135656 701027613 862803216 934703484 1019676528 1246271312 1402055226 1869406968 2804110452 3738813936 5608220904 11216441808