Search a number
-
+
214673484256512 = 2831290612165819
BaseRepresentation
bin110000110011111010010000…
…110001011001010100000000
31001011002120210020000002002020
4300303322100301121110000
5211114202243432202022
62040323345345321440
763134435030502201
oct6063722061312400
91034076706002066
10214673484256512
1162446571378036
12200b11ab636280
1392a28131013c8
143b023759ad5a8
1519c423b26835c
hexc33e90c59500

214673484256512 has 72 divisors (see below), whose sum is σ = 571349224356960. Its totient is φ = 71557240596480.

The previous prime is 214673484256501. The next prime is 214673484256571. The reversal of 214673484256512 is 215652484376412.

It is a super-2 number, since 2×2146734842565122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98035939 + ... + 100201757.

Almost surely, 2214673484256512 is an apocalyptic number.

It is an amenable number.

214673484256512 is an abundant number, since it is smaller than the sum of its proper divisors (356675740100448).

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

214673484256512 is a wasteful number, since it uses less digits than its factorization.

214673484256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294899 (or 2294885 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 60.

The spelling of 214673484256512 in words is "two hundred fourteen trillion, six hundred seventy-three billion, four hundred eighty-four million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 129061 258122 387183 516244 774366 1032488 1548732 2064976 2165819 3097464 4129952 4331638 6194928 6497457 8259904 8663276 12389856 12994914 16519808 17326552 24779712 25989828 33039616 34653104 49559424 51979656 69306208 99118848 103959312 138612416 207918624 277224832 415837248 554449664 831674496 1663348992 279522765959 559045531918 838568297877 1118091063836 1677136595754 2236182127672 3354273191508 4472364255344 6708546383016 8944728510688 13417092766032 17889457021376 26834185532064 35778914042752 53668371064128 71557828085504 107336742128256 214673484256512