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11561425360 = 2452921792287
BaseRepresentation
bin10101100010001110…
…10101100111010000
31002211201212021001021
422301013111213100
5142134211102420
65151121245224
7556334331322
oct126107254720
932751767037
1011561425360
1149a3139aa1
1222a7a93814
1311233383c4
147b9695612
15479edc7aa
hex2b11d59d0

11561425360 has 80 divisors (see below), whose sum is σ = 27832147200. Its totient is φ = 4461101568.

The previous prime is 11561425357. The next prime is 11561425361. The reversal of 11561425360 is 6352416511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×115614253602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11561425361) 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, 5054137 + ... + 5056423.

It is an arithmetic number, because the mean of its divisors is an integer number (347901840).

Almost surely, 211561425360 is an apocalyptic number.

11561425360 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 11561425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13916073600).

11561425360 is an abundant number, since it is smaller than the sum of its proper divisors (16270721840).

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

11561425360 is a wasteful number, since it uses less digits than its factorization.

11561425360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

It can be divided in two parts, 11561 and 425360, that added together give a square (436921 = 6612).

The spelling of 11561425360 in words is "eleven billion, five hundred sixty-one million, four hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2179 2287 2320 4358 4574 8716 9148 10895 11435 17432 18296 21790 22870 34864 36592 43580 45740 63191 66323 87160 91480 126382 132646 174320 182960 252764 265292 315955 331615 505528 530584 631910 663230 1011056 1061168 1263820 1326460 2527640 2652920 4983373 5055280 5305840 9966746 19933492 24916865 39866984 49833730 79733968 99667460 144517817 199334920 289035634 398669840 578071268 722589085 1156142536 1445178170 2312285072 2890356340 5780712680 11561425360