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11345336643450 = 23524712041133649
BaseRepresentation
bin1010010100011000101011…
…0000101010111101111010
31111011121022000110211010010
42211012022300222331322
52441340222140042300
640043550430202350
72250450006212025
oct245061260527572
944147260424103
1011345336643450
113684591843487
1213329763533b6
13643b25b216b4
142b318d9381bc
1514a1b9102a50
hexa518ac2af7a

11345336643450 has 96 divisors (see below), whose sum is σ = 28737683884800. Its totient is φ = 2960784332800.

The previous prime is 11345336643437. The next prime is 11345336643467. The reversal of 11345336643450 is 5434663354311.

It is a happy number.

11345336643450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11345336643450.

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, 84822226 + ... + 84955874.

It is an arithmetic number, because the mean of its divisors is an integer number (299350873800).

Almost surely, 211345336643450 is an apocalyptic number.

11345336643450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11345336643450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368841942400).

11345336643450 is an abundant number, since it is smaller than the sum of its proper divisors (17392347241350).

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

11345336643450 is a wasteful number, since it uses less digits than its factorization.

11345336643450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145752 (or 145747 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

Adding to 11345336643450 its reverse (5434663354311), we get a palindrome (16779999997761).

The spelling of 11345336643450 in words is "eleven trillion, three hundred forty-five billion, three hundred thirty-six million, six hundred forty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 75 94 141 150 235 282 470 705 1175 1410 2350 3525 7050 12041 24082 36123 60205 72246 120410 133649 180615 267298 301025 361230 400947 565927 602050 668245 801894 903075 1131854 1336490 1697781 1806150 2004735 2829635 3341225 3395562 4009470 5659270 6281503 6682450 8488905 10023675 12563006 14148175 16977810 18844509 20047350 28296350 31407515 37689018 42444525 62815030 84889050 94222545 157037575 188445090 314075150 471112725 942225450 1609267609 3218535218 4827802827 8046338045 9655605654 16092676090 24139014135 40231690225 48278028270 75635577623 80463380450 120695070675 151271155246 226906732869 241390141350 378177888115 453813465738 756355776230 1134533664345 1890889440575 2269067328690 3781778881150 5672668321725 11345336643450