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11334514512 = 2432914095779
BaseRepresentation
bin10101000111001011…
…01111011101010000
31002020220212222212210
422203211233131100
5141203113431022
65112413552120
7550610532546
oct124345573520
932226788783
1011334514512
114897046572
122243aa5640
1310b831b229
147974a9d96
15465119a0c
hex2a396f750

11334514512 has 80 divisors (see below), whose sum is σ = 30317256000. Its totient is φ = 3644669952.

The previous prime is 11334514489. The next prime is 11334514519. The reversal of 11334514512 is 21541543311.

It is a self number, because there is not a number n which added to its sum of digits gives 11334514512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334514519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1958439 + ... + 1964217.

It is an arithmetic number, because the mean of its divisors is an integer number (378965700).

Almost surely, 211334514512 is an apocalyptic number.

11334514512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11334514512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158628000).

11334514512 is an abundant number, since it is smaller than the sum of its proper divisors (18982741488).

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

11334514512 is a wasteful number, since it uses less digits than its factorization.

11334514512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7228 (or 7222 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The spelling of 11334514512 in words is "eleven billion, three hundred thirty-four million, five hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1409 2818 4227 5636 5779 8454 11272 11558 16908 17337 22544 23116 33816 34674 40861 46232 67632 69348 81722 92464 122583 138696 163444 167591 245166 277392 326888 335182 490332 502773 653776 670364 980664 1005546 1340728 1961328 2011092 2681456 4022184 8044368 8142611 16285222 24427833 32570444 48855666 65140888 97711332 130281776 195422664 236135719 390845328 472271438 708407157 944542876 1416814314 1889085752 2833628628 3778171504 5667257256 11334514512