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11450370371781 = 31119412101107563
BaseRepresentation
bin1010011010011111111101…
…0000100011000011000101
31111112122101222222001111110
42212213333100203003011
53000100324303344111
640204121051355233
72261155565162235
oct246477720430305
944478358861443
1011450370371781
113715090623140
12134b1a9a52b19
136509c446b9c3
142b82b5319cc5
1514ccb52075a6
hexa69ff4230c5

11450370371781 has 96 divisors (see below), whose sum is σ = 18147785034240. Its totient is φ = 6350460480000.

The previous prime is 11450370371779. The next prime is 11450370371801. The reversal of 11450370371781 is 18717307305411.

11450370371781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11450370371781 - 21 = 11450370371779 is a prime.

It is a super-2 number, since 2×114503703717812 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11450370371781.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11450370371711) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106398906 + ... + 106506468.

It is an arithmetic number, because the mean of its divisors is an integer number (189039427440).

Almost surely, 211450370371781 is an apocalyptic number.

11450370371781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11450370371781 is a deficient number, since it is larger than the sum of its proper divisors (6697414662459).

11450370371781 is a wasteful number, since it uses less digits than its factorization.

11450370371781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107779 (or 107738 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 48.

The spelling of 11450370371781 in words is "eleven trillion, four hundred fifty billion, three hundred seventy million, three hundred seventy-one thousand, seven hundred eighty-one".

Divisors: 1 3 11 19 33 41 57 101 123 209 303 451 627 779 1111 1353 1681 1919 2337 3333 4141 5043 5757 8569 12423 18491 21109 25707 31939 45551 55473 63327 78679 95817 107563 136653 169781 236037 322689 351329 509343 865469 1053987 1183193 1867591 2043697 2596407 3225839 3549579 4410083 5602773 6131091 9677517 10863863 13230249 22480667 32591589 35484229 48510913 67442001 83791577 106452687 119502493 145532739 180813403 206413397 251374731 358507479 445418383 542440209 619240191 921707347 1336255149 1988947433 2270547367 2765122041 3435454657 4899602213 5966842299 6811642101 8462949277 10306363971 14698806639 18262153703 25388847831 37790001227 54786461109 93092442047 113370003681 200883690733 279277326141 346980920357 602651072199 1040942761071 3816790123927 11450370371781