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11225635356 = 223131512232137
BaseRepresentation
bin10100111010001100…
…11001101000011100
31001222100000100202110
422131012121220130
5140442230312411
65053524154020
7545116216605
oct123506315034
931870010673
1011225635356
11484063aaa1
122213538910
13109b8b90b0
14786c46dac
1545a7ae2a6
hex29d199a1c

11225635356 has 96 divisors (see below), whose sum is σ = 28535492608. Its totient is φ = 3414182400.

The previous prime is 11225635331. The next prime is 11225635361. The reversal of 11225635356 is 65353652211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5251920 + ... + 5254056.

Almost surely, 211225635356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11225635356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267746304).

11225635356 is an abundant number, since it is smaller than the sum of its proper divisors (17309857252).

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

11225635356 is a wasteful number, since it uses less digits than its factorization.

11225635356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2529 counting only the distinct ones).

The product of its digits is 162000, while the sum is 39.

The spelling of 11225635356 in words is "eleven billion, two hundred twenty-five million, six hundred thirty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 223 302 446 453 604 669 892 906 1338 1812 1963 2137 2676 2899 3926 4274 5798 5889 6411 7852 8548 8697 11596 11778 12822 17394 23556 25644 27781 33673 34788 55562 67346 83343 101019 111124 134692 166686 202038 322687 333372 404076 437749 476551 645374 875498 953102 968061 1290748 1313247 1429653 1750996 1906204 1936122 2626494 2859306 3872244 4194931 5252988 5718612 6195163 8389862 12390326 12584793 16779724 18585489 24780652 25169586 37170978 50339172 71959201 74341956 143918402 215877603 287836804 431755206 863510412 935469613 1870939226 2806408839 3741878452 5612817678 11225635356