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213551320464 = 24321482995281
BaseRepresentation
bin1100011011100010100…
…1101000110110010000
3202102012202111002110100
43012320221220312100
511444323114223324
6242034253532400
721300000162636
oct3067051506620
9672182432410
10213551320464
11826261758a9
1235479aa4100
13171a39a43b1
14a49bb61356
15584ceca4c9
hex31b8a68d90

213551320464 has 30 divisors (see below), whose sum is σ = 597647098646. Its totient is φ = 71183773440.

The previous prime is 213551320457. The next prime is 213551320481. The reversal of 213551320464 is 464023155312.

213551320464 is a `hidden beast` number, since 2 + 13 + 55 + 132 + 0 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203678910864 + 9872409600 = 451308^2 + 99360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 741497497 + ... + 741497784.

Almost surely, 2213551320464 is an apocalyptic number.

213551320464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213551320464 is an abundant number, since it is smaller than the sum of its proper divisors (384095778182).

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

213551320464 is a wasteful number, since it uses less digits than its factorization.

213551320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482995295 (or 1482995286 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 213551320464 its reverse (464023155312), we get a palindrome (677574475776).

The spelling of 213551320464 in words is "two hundred thirteen billion, five hundred fifty-one million, three hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1482995281 2965990562 4448985843 5931981124 8897971686 11863962248 13346957529 17795943372 23727924496 26693915058 35591886744 53387830116 71183773488 106775660232 213551320464