Search a number
-
+
16476454652240 = 2451136007519989
BaseRepresentation
bin1110111111000011100100…
…1110100000100101010000
32011100010121110020220220002
43233300321032200211100
54124422234342332430
655013102340505132
73320245622521322
oct357607116404520
964303543226802
1016476454652240
115282697124680
121a212b73ab1a8
139269525a513b
1440d671055612
151d88cc8c9845
hexefc393a0950

16476454652240 has 80 divisors (see below), whose sum is σ = 41791521421440. Its totient is φ = 5991260136960.

The previous prime is 16476454652221. The next prime is 16476454652249. The reversal of 16476454652240 is 4225645467461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×164764546522402 (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 (16476454652249) 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, 31426166 + ... + 31946154.

It is an arithmetic number, because the mean of its divisors is an integer number (522394017768).

Almost surely, 216476454652240 is an apocalyptic number.

16476454652240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16476454652240 is an abundant number, since it is smaller than the sum of its proper divisors (25315066769200).

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

16476454652240 is a wasteful number, since it uses less digits than its factorization.

16476454652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556020 (or 556014 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 56.

The spelling of 16476454652240 in words is "sixteen trillion, four hundred seventy-six billion, four hundred fifty-four million, six hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 36007 72014 144028 180035 288056 360070 396077 519989 576112 720140 792154 1039978 1440280 1584308 1980385 2079956 2599945 2880560 3168616 3960770 4159912 5199890 5719879 6337232 7921540 8319824 10399780 11439758 15843080 20799560 22879516 28599395 31686160 41599120 45759032 57198790 91518064 114397580 228795160 457590320 18723243923 37446487846 74892975692 93616219615 149785951384 187232439230 205955683153 299571902768 374464878460 411911366306 748929756920 823822732612 1029778415765 1497859513840 1647645465224 2059556831530 3295290930448 4119113663060 8238227326120 16476454652240