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18468048114 = 235531036961
BaseRepresentation
bin10001001100110010…
…000000110011110010
31202200001220001100000
4101030302000303302
5300310310014424
612252322210430
71222440550605
oct211462006362
952601801300
1018468048114
11791780598a
1236b4ab3a16
1319841a9129
14c72a6633c
1573150e3c9
hex44cc80cf2

18468048114 has 96 divisors (see below), whose sum is σ = 42695662464. Its totient is φ = 5980366080.

The previous prime is 18468048091. The next prime is 18468048139. The reversal of 18468048114 is 41184086481.

18468048114 is a `hidden beast` number, since 1 + 84 + 6 + 80 + 481 + 14 = 666.

It is a super-2 number, since 2×184680481142 (a number of 21 digits) contains 22 as substring.

18468048114 is a modest number, since divided by 48114 gives 18468 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 18468048114.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2649594 + ... + 2656554.

It is an arithmetic number, because the mean of its divisors is an integer number (444746484).

Almost surely, 218468048114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18468048114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21347831232).

18468048114 is an abundant number, since it is smaller than the sum of its proper divisors (24227614350).

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

18468048114 is a wasteful number, since it uses less digits than its factorization.

18468048114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 18468048114 in words is "eighteen billion, four hundred sixty-eight million, forty-eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 103 106 159 162 206 243 309 318 477 486 618 927 954 1431 1854 2781 2862 4293 5459 5562 6961 8343 8586 10918 12879 13922 16377 16686 20883 25029 25758 32754 41766 49131 50058 62649 98262 125298 147393 187947 294786 368933 375894 442179 563841 716983 737866 884358 1106799 1127682 1326537 1433966 1691523 2150949 2213598 2653074 3320397 3383046 4301898 6452847 6640794 9961191 12905694 19358541 19922382 29883573 38000099 38717082 58075623 59767146 76000198 89650719 114000297 116151246 174226869 179301438 228000594 342000891 348453738 684001782 1026002673 2052005346 3078008019 6156016038 9234024057 18468048114