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11255869248 = 2631329315391
BaseRepresentation
bin10100111101110011…
…01110111101000000
31002001102220101212020
422132321232331000
5141023000303443
65100524201440
7545634211221
oct123671567500
932042811766
1011255869248
114856710188
122221699280
1310a4c43680
1478ac77248
1545d282583
hex29ee6ef40

11255869248 has 112 divisors (see below), whose sum is σ = 32183563776. Its totient is φ = 3451299840.

The previous prime is 11255869231. The next prime is 11255869253. The reversal of 11255869248 is 84296855211.

It is a self number, because there is not a number n which added to its sum of digits gives 11255869248.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723633 + ... + 739023.

It is an arithmetic number, because the mean of its divisors is an integer number (287353248).

Almost surely, 211255869248 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 11255869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091781888).

11255869248 is an abundant number, since it is smaller than the sum of its proper divisors (20927694528).

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

11255869248 is a wasteful number, since it uses less digits than its factorization.

11255869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15712 (or 15702 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 51.

The spelling of 11255869248 in words is "eleven billion, two hundred fifty-five million, eight hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 293 312 416 586 624 832 879 1172 1248 1758 2344 2496 3516 3809 4688 7032 7618 9376 11427 14064 15236 15391 18752 22854 28128 30472 30782 45708 46173 56256 60944 61564 91416 92346 121888 123128 182832 184692 200083 243776 246256 365664 369384 400166 492512 600249 731328 738768 800332 985024 1200498 1477536 1600664 2400996 2955072 3201328 4509563 4801992 6402656 9019126 9603984 12805312 13528689 18038252 19207968 27057378 36076504 38415936 54114756 58624319 72153008 108229512 117248638 144306016 175872957 216459024 234497276 288612032 351745914 432918048 468994552 703491828 865836096 937989104 1406983656 1875978208 2813967312 3751956416 5627934624 11255869248