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14884672164864 = 210314233404969
BaseRepresentation
bin1101100010011001101110…
…0110001101010000000000
31221200221221101200100001020
43120212123212031100000
53422332302033233424
651353531325505440
73064245023601105
oct330463346152000
957627841610036
1014884672164864
114819610438037
1218048ba712280
1383c806c9b708
143965c9c92aac
151ac2b7959079
hexd899b98d400

14884672164864 has 88 divisors (see below), whose sum is σ = 39700969568640. Its totient is φ = 4958069243904.

The previous prime is 14884672164863. The next prime is 14884672164883. The reversal of 14884672164864 is 46846127648841.

It is a super-2 number, since 2×148846721648642 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14884672164863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2668972 + ... + 6073940.

Almost surely, 214884672164864 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 14884672164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850484784320).

14884672164864 is an abundant number, since it is smaller than the sum of its proper divisors (24816297403776).

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

14884672164864 is a wasteful number, since it uses less digits than its factorization.

14884672164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406415 (or 3406397 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 69.

The spelling of 14884672164864 in words is "fourteen trillion, eight hundred eighty-four billion, six hundred seventy-two million, one hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1423 1536 2846 3072 4269 5692 8538 11384 17076 22768 34152 45536 68304 91072 136608 182144 273216 364288 546432 728576 1092864 1457152 2185728 3404969 4371456 6809938 10214907 13619876 20429814 27239752 40859628 54479504 81719256 108959008 163438512 217918016 326877024 435836032 653754048 871672064 1307508096 1743344128 2615016192 3486688256 4845270887 5230032384 9690541774 10460064768 14535812661 19381083548 29071625322 38762167096 58143250644 77524334192 116286501288 155048668384 232573002576 310097336768 465146005152 620194673536 930292010304 1240389347072 1860584020608 2480778694144 3721168041216 4961557388288 7442336082432 14884672164864