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18354000522 = 231113115318553
BaseRepresentation
bin10001000101111110…
…111101001010001010
31202101010021211110010
4101011332331022022
5300042111004042
612233125532350
71216554300414
oct210576751212
952333254403
1018354000522
11786939a280
1236828740b6
131966687650
14c618599b4
157264d259c
hex445fbd28a

18354000522 has 64 divisors (see below), whose sum is σ = 43165213056. Its totient is φ = 5129256960.

The previous prime is 18354000499. The next prime is 18354000611. The reversal of 18354000522 is 22500045381.

It is a self number, because there is not a number n which added to its sum of digits gives 18354000522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979998 + ... + 998550.

It is an arithmetic number, because the mean of its divisors is an integer number (674456454).

Almost surely, 218354000522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18354000522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21582606528).

18354000522 is an abundant number, since it is smaller than the sum of its proper divisors (24811212534).

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

18354000522 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (18354000521) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (19735).

18354000522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19735.

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 18354000522 in words is "eighteen billion, three hundred fifty-four million, five hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 1153 2306 3459 6918 12683 14989 18553 25366 29978 37106 38049 44967 55659 76098 89934 111318 164879 204083 241189 329758 408166 482378 494637 612249 723567 989274 1224498 1447134 2653079 5306158 7959237 15918474 21391609 42783218 64174827 128349654 235307699 278090917 470615398 556181834 705923097 834272751 1411846194 1668545502 3059000087 6118000174 9177000261 18354000522