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11459045720 = 2354115146273
BaseRepresentation
bin10101010110000001…
…10010100101011000
31002120121012211120202
422223000302211120
5141432003430340
65133023041332
7553652165363
oct125300624530
932517184522
1011459045720
114950372721
122279740248
131108070735
147a9c450da
15471017c15
hex2ab032958

11459045720 has 64 divisors (see below), whose sum is σ = 26587189440. Its totient is φ = 4442112000.

The previous prime is 11459045707. The next prime is 11459045723. The reversal of 11459045720 is 2754095411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11459045723) 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, 224504 + ... + 270776.

It is an arithmetic number, because the mean of its divisors is an integer number (415424835).

Almost surely, 211459045720 is an apocalyptic number.

11459045720 is a gapful number since it is divisible by the number (10) 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 11459045720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293594720).

11459045720 is an abundant number, since it is smaller than the sum of its proper divisors (15128143720).

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

11459045720 is a wasteful number, since it uses less digits than its factorization.

11459045720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46476 (or 46472 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The spelling of 11459045720 in words is "eleven billion, four hundred fifty-nine million, forty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 151 164 205 302 328 410 604 755 820 1208 1510 1640 3020 6040 6191 12382 24764 30955 46273 49528 61910 92546 123820 185092 231365 247640 370184 462730 925460 1850920 1897193 3794386 6987223 7588772 9485965 13974446 15177544 18971930 27948892 34936115 37943860 55897784 69872230 75887720 139744460 279488920 286476143 572952286 1145904572 1432380715 2291809144 2864761430 5729522860 11459045720