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14676018968 = 23137913011373
BaseRepresentation
bin11011010101100001…
…00100011100011000
31101212210112000021002
431222300210130120
5220024030101333
610424142004132
71026454050212
oct155260443430
941783460232
1014676018968
1162512592a6
122a16b76648
1314cb6a2ac0
149d31ab5b2
155ad66a0e8
hex36ac24718

14676018968 has 64 divisors (see below), whose sum is σ = 30054326400. Its totient is φ = 6677798400.

The previous prime is 14676018967. The next prime is 14676018971. The reversal of 14676018968 is 86981067641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14676018967) 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, 10688330 + ... + 10689702.

It is an arithmetic number, because the mean of its divisors is an integer number (469598850).

Almost surely, 214676018968 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 14676018968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027163200).

14676018968 is an abundant number, since it is smaller than the sum of its proper divisors (15378307432).

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

14676018968 is a wasteful number, since it uses less digits than its factorization.

14676018968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 14676018968 in words is "fourteen billion, six hundred seventy-six million, eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 79 104 158 316 632 1027 1301 1373 2054 2602 2746 4108 5204 5492 8216 10408 10984 16913 17849 33826 35698 67652 71396 102779 108467 135304 142792 205558 216934 411116 433868 822232 867736 1336127 1410071 1786273 2672254 2820142 3572546 5344508 5640284 7145092 10689016 11280568 14290184 23221549 46443098 92886196 141115567 185772392 282231134 564462268 1128924536 1834502371 3669004742 7338009484 14676018968