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3999469680 = 2432514533823
BaseRepresentation
bin1110111001100011…
…0001000001110000
3101022201201002222200
43232120301001300
531142331012210
61500510303200
7201052634313
oct35630610160
911281632880
103999469680
111772661848
129374b7b00
134b979720b
1429d25697a
151861bd0c0
hexee631070

3999469680 has 120 divisors (see below), whose sum is σ = 13444312128. Its totient is φ = 1065512448.

The previous prime is 3999469613. The next prime is 3999469699. The reversal of 3999469680 is 869649993.

3999469680 is a `hidden beast` number, since 3 + 9 + 99 + 469 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1044249 + ... + 1048071.

Almost surely, 23999469680 is an apocalyptic number.

3999469680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999469680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722156064).

3999469680 is an abundant number, since it is smaller than the sum of its proper divisors (9444842448).

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

3999469680 is a wasteful number, since it uses less digits than its factorization.

3999469680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The square root of 3999469680 is about 63241.3605166745. The cubic root of 3999469680 is about 1587.3308963239.

The spelling of 3999469680 in words is "three billion, nine hundred ninety-nine million, four hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1453 2906 3823 4359 5812 7265 7646 8718 11469 11624 13077 14530 15292 17436 19115 21795 22938 23248 26154 29060 30584 34407 34872 38230 43590 45876 52308 57345 58120 61168 65385 68814 69744 76460 87180 91752 104616 114690 116240 130770 137628 152920 172035 174360 183504 209232 229380 261540 275256 305840 344070 348720 458760 523080 550512 688140 917520 1046160 1376280 2752560 5554819 11109638 16664457 22219276 27774095 33328914 44438552 49993371 55548190 66657828 83322285 88877104 99986742 111096380 133315656 166644570 199973484 222192760 249966855 266631312 333289140 399946968 444385520 499933710 666578280 799893936 999867420 1333156560 1999734840 3999469680