Search a number
-
+
14828269361472 = 263371225882057
BaseRepresentation
bin1101011111000111100110…
…1110100101100101000000
31221111120100120212001101000
43113301321232211211000
53420421243424031342
651312002442012000
73060210223641060
oct327617156454500
957446316761330
1014828269361472
1147a76a7534036
1217b59994a7000
138373b887c638
1439399905d3a0
151aaab5e1244c
hexd7c79ba5940

14828269361472 has 112 divisors (see below), whose sum is σ = 49819846837120. Its totient is φ = 4236648385536.

The previous prime is 14828269361467. The next prime is 14828269361483. The reversal of 14828269361472 is 27416396282841.

14828269361472 is a `hidden beast` number, since 1 + 4 + 8 + 2 + 8 + 2 + 6 + 9 + 3 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612928933 + ... + 612953124.

Almost surely, 214828269361472 is an apocalyptic number.

14828269361472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14828269361472 is an abundant number, since it is smaller than the sum of its proper divisors (34991577475648).

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

14828269361472 is a wasteful number, since it uses less digits than its factorization.

14828269361472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225882085 (or 1225882069 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 14828269361472 in words is "fourteen trillion, eight hundred twenty-eight billion, two hundred sixty-nine million, three hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 1225882057 2451764114 3677646171 4903528228 7355292342 8581174399 9807056456 11032938513 14710584684 17162348798 19614112912 22065877026 25743523197 29421169368 33098815539 34324697596 39228225824 44131754052 51487046394 58842338736 66197631078 68649395192 77230569591 78456451648 88263508104 102974092788 117684677472 132395262156 137298790384 154461139182 176527016208 205948185576 231691708773 235369354944 264790524312 274597580768 308922278364 353054032416 411896371152 463383417546 529581048624 549195161536 617844556728 706108064832 823792742304 926766835092 1059162097248 1235689113456 1647585484608 1853533670184 2118324194496 2471378226912 3707067340368 4942756453824 7414134680736 14828269361472