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11229941616516 = 223271910721919951
BaseRepresentation
bin1010001101101010110010…
…1011100100111110000100
31110202120102221101002002200
42203122230223210332010
52432442410023212031
635514544114234500
72236223264524050
oct243325453447604
943676387332080
1011229941616516
11363a656307827
121314530885a30
13635c959a607c
142ab764024c60
151471b35738e6
hexa36acae4f84

11229941616516 has 144 divisors (see below), whose sum is σ = 34468686120960. Its totient is φ = 3011275051200.

The previous prime is 11229941616479. The next prime is 11229941616527. The reversal of 11229941616516 is 61561614992211.

11229941616516 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 9 + 9 + 4 + 1 + 616 + 5 + 16 = 666.

11229941616516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112299416165162 (a number of 27 digits) contains 22 as substring.

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, 10447660 + ... + 11472291.

It is an arithmetic number, because the mean of its divisors is an integer number (239365875840).

Almost surely, 211229941616516 is an apocalyptic number.

It is an amenable number.

11229941616516 is an abundant number, since it is smaller than the sum of its proper divisors (23238744504444).

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

11229941616516 is a wasteful number, since it uses less digits than its factorization.

11229941616516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21920094 (or 21920089 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 11229941616516 in words is "eleven trillion, two hundred twenty-nine billion, nine hundred forty-one million, six hundred sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 107 114 126 133 171 214 228 252 266 321 342 399 428 532 642 684 749 798 963 1197 1284 1498 1596 1926 2033 2247 2394 2996 3852 4066 4494 4788 6099 6741 8132 8988 12198 13482 14231 18297 24396 26964 28462 36594 42693 56924 73188 85386 128079 170772 256158 512316 21919951 43839902 65759853 87679804 131519706 153439657 197279559 263039412 306879314 394559118 416479069 460318971 613758628 789118236 832958138 920637942 1249437207 1380956913 1665916276 1841275884 2345434757 2498874414 2761913826 2915353483 3748311621 4690869514 4997748828 5523827652 5830706966 7036304271 7496623242 8746060449 9381739028 11661413932 14072608542 14993246484 16418043299 17492120898 21108912813 26238181347 28145217084 32836086598 34984241796 42217825626 44563260383 49254129897 52476362694 65672173196 84435651252 89126520766 98508259794 104952725388 133689781149 147762389691 178253041532 197016519588 267379562298 295524779382 311942822681 401069343447 534759124596 591049558764 623885645362 802138686894 935828468043 1247771290724 1604277373788 1871656936086 2807485404129 3743313872172 5614970808258 11229941616516