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66315687880 = 23513297110103
BaseRepresentation
bin111101110000101110…
…010001011111001000
320100011122122222210011
4331300232101133020
52041303304003010
650244235201304
74535236021621
oct756056213710
9210148588704
1066315687880
1126140527922
1210a28ba6234
13633b057500
1432d159aa48
151ad1e47a8a
hexf70b917c8

66315687880 has 96 divisors (see below), whose sum is σ = 161753319360. Its totient is φ = 24458154240.

The previous prime is 66315687827. The next prime is 66315687881. The reversal of 66315687880 is 8878651366.

It is a super-3 number, since 3×663156878803 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66315687881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6558909 + ... + 6569011.

It is an arithmetic number, because the mean of its divisors is an integer number (1684930410).

Almost surely, 266315687880 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 66315687880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80876659680).

66315687880 is an abundant number, since it is smaller than the sum of its proper divisors (95437631480).

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

66315687880 is a wasteful number, since it uses less digits than its factorization.

66315687880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 58.

The spelling of 66315687880 in words is "sixty-six billion, three hundred fifteen million, six hundred eighty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 971 1352 1690 1942 3380 3884 4855 6760 7768 9710 10103 12623 19420 20206 25246 38840 40412 50492 50515 63115 80824 100984 101030 126230 131339 164099 202060 252460 262678 328198 404120 504920 525356 656396 656695 820495 1050712 1312792 1313390 1640990 1707407 2626780 3281980 3414814 5253560 6563960 6829628 8537035 9810013 13659256 17074070 19620026 34148140 39240052 49050065 68296280 78480104 98100130 127530169 196200260 255060338 392400520 510120676 637650845 1020241352 1275301690 1657892197 2550603380 3315784394 5101206760 6631568788 8289460985 13263137576 16578921970 33157843940 66315687880