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11362564608 = 29310967867
BaseRepresentation
bin10101001010100001…
…01111101000000000
31002022212200002101020
422211100233220000
5141232304031413
65115255105440
7551401130343
oct124520575000
932285602336
1011362564608
114900964a6a
122251372280
1310c108c815
1479b0cc45a
1546780ac23
hex2a542fa00

11362564608 has 80 divisors (see below), whose sum is σ = 30548744160. Its totient is φ = 3752718336.

The previous prime is 11362564553. The next prime is 11362564667. The reversal of 11362564608 is 80646526311.

It is a self number, because there is not a number n which added to its sum of digits gives 11362564608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133491 + ... + 201357.

It is an arithmetic number, because the mean of its divisors is an integer number (381859302).

Almost surely, 211362564608 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 11362564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274372080).

11362564608 is an abundant number, since it is smaller than the sum of its proper divisors (19186179552).

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

11362564608 is an equidigital number, since it uses as much as digits as its factorization.

11362564608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67997 (or 67981 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 11362564608 in words is "eleven billion, three hundred sixty-two million, five hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 512 654 768 872 1308 1536 1744 2616 3488 5232 6976 10464 13952 20928 27904 41856 55808 67867 83712 135734 167424 203601 271468 407202 542936 814404 1085872 1628808 2171744 3257616 4343488 6515232 7397503 8686976 13030464 14795006 17373952 22192509 26060928 29590012 34747904 44385018 52121856 59180024 88770036 104243712 118360048 177540072 236720096 355080144 473440192 710160288 946880384 1420320576 1893760768 2840641152 3787521536 5681282304 11362564608