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11640822424 = 23711210915761
BaseRepresentation
bin10101101011101100…
…01101101010011000
31010001021021001100021
422311312031222120
5142320022304144
65203035120224
7561320233540
oct126566155230
933037231307
1011640822424
114a33a39200
12230a5a3074
13113691720a
147c6042320
15481e72884
hex2b5d8da98

11640822424 has 96 divisors (see below), whose sum is σ = 27671767200. Its totient is φ = 4493491200.

The previous prime is 11640822419. The next prime is 11640822439. The reversal of 11640822424 is 42422804611.

It is a self number, because there is not a number n which added to its sum of digits gives 11640822424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730704 + ... + 746464.

It is an arithmetic number, because the mean of its divisors is an integer number (288247575).

Almost surely, 211640822424 is an apocalyptic number.

11640822424 is a gapful number since it is divisible by the number (14) 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 11640822424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835883600).

11640822424 is an abundant number, since it is smaller than the sum of its proper divisors (16030944776).

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

11640822424 is a wasteful number, since it uses less digits than its factorization.

11640822424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15905 (or 15890 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 11640822424 in words is "eleven billion, six hundred forty million, eight hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 109 121 154 218 242 308 436 484 616 763 847 872 968 1199 1526 1694 2398 3052 3388 4796 6104 6776 8393 9592 13189 15761 16786 26378 31522 33572 52756 63044 67144 92323 105512 110327 126088 173371 184646 220654 346742 369292 441308 693484 738584 882616 1213597 1386968 1717949 1907081 2427194 3435898 3814162 4854388 6871796 7628324 9708776 12025643 13349567 13743592 15256648 18897439 24051286 26699134 37794878 48102572 53398268 75589756 96205144 106796536 132282073 151179512 207871829 264564146 415743658 529128292 831487316 1058256584 1455102803 1662974632 2910205606 5820411212 11640822424