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11324270408 = 23111921132099
BaseRepresentation
bin10101000101111101…
…01010011101001000
31002020012121112121112
422202332222131020
5141143003123113
65111410225452
7550424465423
oct124276523510
932205545545
1011324270408
114891289a70
122240585288
1310b6172529
14795da09ba
154642945a8
hex2a2faa748

11324270408 has 64 divisors (see below), whose sum is σ = 24498720000. Its totient is φ = 4853217600.

The previous prime is 11324270371. The next prime is 11324270411. The reversal of 11324270408 is 80407242311.

11324270408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336743 + ... + 368841.

It is an arithmetic number, because the mean of its divisors is an integer number (382792500).

Almost surely, 211324270408 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 11324270408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249360000).

11324270408 is an abundant number, since it is smaller than the sum of its proper divisors (13174449592).

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

11324270408 is a wasteful number, since it uses less digits than its factorization.

11324270408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32346 (or 32342 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 11324270408 in words is "eleven billion, three hundred twenty-four million, two hundred seventy thousand, four hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 211 418 422 836 844 1672 1688 2321 4009 4642 8018 9284 16036 18568 32072 32099 44099 64198 88198 128396 176396 256792 352792 353089 609881 706178 1219762 1412356 2439524 2824712 4879048 6708691 6772889 13417382 13545778 26834764 27091556 53669528 54183112 74501779 128684891 149003558 257369782 298007116 514739564 596014232 1029479128 1415533801 2831067602 5662135204 11324270408