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11451345435 = 3451710915259
BaseRepresentation
bin10101010101000110…
…11010101000011011
31002120001201121210000
422222203122220123
5141423021023220
65132150024043
7553526554515
oct125243325033
932501647700
1011451345435
114946a93352
122277048023
1311065a585a
147a8bdcbb5
154704e6390
hex2aa8daa1b

11451345435 has 80 divisors (see below), whose sum is σ = 21935944800. Its totient is φ = 5695017984.

The previous prime is 11451345427. The next prime is 11451345461. The reversal of 11451345435 is 53454315411.

11451345435 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 11451345435 - 23 = 11451345427 is a prime.

It is a super-2 number, since 2×114513454352 (a number of 21 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 11451345435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 742836 + ... + 758094.

It is an arithmetic number, because the mean of its divisors is an integer number (274199310).

Almost surely, 211451345435 is an apocalyptic number.

11451345435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11451345435 is a deficient number, since it is larger than the sum of its proper divisors (10484599365).

11451345435 is a wasteful number, since it uses less digits than its factorization.

11451345435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15402 (or 15393 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 11451345435 in words is "eleven billion, four hundred fifty-one million, three hundred forty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 109 135 153 255 327 405 459 545 765 981 1377 1635 1853 2295 2943 4905 5559 6885 8829 9265 14715 15259 16677 27795 44145 45777 50031 76295 83385 137331 150093 228885 250155 259403 411993 686655 750465 778209 1235979 1297015 1663231 2059965 2334627 3891045 4989693 6179895 7003881 8316155 11673135 14969079 21011643 24948465 28274927 35019405 44907237 74845395 84824781 105058215 134721711 141374635 224536185 254474343 424123905 673608555 763423029 1272371715 2290269087 3817115145 11451345435