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18465687768 = 23311571122497
BaseRepresentation
bin10001001100101001…
…000000100011011000
31202122220110010112210
4101030221000203120
5300304204002033
612252155435120
71222411520253
oct211451004330
952586403483
1018465687768
117916443590
1236b4155aa0
131983860988
14c7261009a
157311e4d63
hex44ca408d8

18465687768 has 64 divisors (see below), whose sum is σ = 50449576320. Its totient is φ = 5585817600.

The previous prime is 18465687767. The next prime is 18465687787. The reversal of 18465687768 is 86778656481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 18465687699 and 18465687708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18465687763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89496 + ... + 211992.

It is an arithmetic number, because the mean of its divisors is an integer number (788274630).

Almost surely, 218465687768 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 18465687768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25224788160).

18465687768 is an abundant number, since it is smaller than the sum of its proper divisors (31983888552).

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

18465687768 is a wasteful number, since it uses less digits than its factorization.

18465687768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123088 (or 123084 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 66.

The spelling of 18465687768 in words is "eighteen billion, four hundred sixty-five million, six hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 571 1142 1713 2284 3426 4568 6281 6852 12562 13704 18843 25124 37686 50248 75372 122497 150744 244994 367491 489988 734982 979976 1347467 1469964 2694934 2939928 4042401 5389868 8084802 10779736 16169604 32339208 69945787 139891574 209837361 279783148 419674722 559566296 769403657 839349444 1538807314 1678698888 2308210971 3077614628 4616421942 6155229256 9232843884 18465687768