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23364039608 = 23713531035879
BaseRepresentation
bin10101110000100110…
…101111001110111000
32020022021120012001022
4111300212233032320
5340322143231413
614422220242012
71454661026360
oct256046571670
966267505038
1023364039608
1199aa433848
1246406a0308
13228461c810
1411b8db19a0
1591b26d608
hex5709af3b8

23364039608 has 128 divisors (see below), whose sum is σ = 55477094400. Its totient is φ = 8978950656.

The previous prime is 23364039563. The next prime is 23364039613. The reversal of 23364039608 is 80693046332.

It is a Cunningham number, because it is equal to 1528532-1.

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 31 ways as a sum of consecutive naturals, for example, 3971213 + ... + 3977091.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 223364039608 is an apocalyptic number.

23364039608 is a gapful number since it is divisible by the number (28) 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 23364039608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27738547200).

23364039608 is an abundant number, since it is smaller than the sum of its proper divisors (32113054792).

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

23364039608 is a wasteful number, since it uses less digits than its factorization.

23364039608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6061 (or 6057 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 44.

The spelling of 23364039608 in words is "twenty-three billion, three hundred sixty-four million, thirty-nine thousand, six hundred eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 103 104 106 182 206 212 364 371 412 424 689 721 728 742 824 1339 1378 1442 1484 2678 2756 2884 2968 4823 5356 5459 5512 5768 5879 9373 9646 10712 10918 11758 18746 19292 21836 23516 37492 38213 38584 41153 43672 47032 70967 74984 76426 76427 82306 141934 152852 152854 164612 283868 305704 305708 311587 329224 496769 534989 567736 605537 611416 623174 993538 1069978 1211074 1246348 1987076 2139956 2181109 2422148 2492696 3974152 4050631 4238759 4279912 4362218 4844296 7871981 8101262 8477518 8724436 15743962 16202524 16955036 17448872 28354417 31487924 32093461 32405048 33910072 55103867 56708834 62975848 64186922 110207734 113417668 128373844 220415468 224654227 226835336 256747688 417214993 440830936 449308454 834429986 898616908 1668859972 1797233816 2920504951 3337719944 5841009902 11682019804 23364039608