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213075424848 = 243111331042457
BaseRepresentation
bin1100011001110001001…
…0001111011001010000
3202100222121000002101210
43012130102033121100
511442334302043343
6241515133500120
721252131141106
oct3063422173120
9670877002353
10213075424848
1182401582440
1235366641640
131712920b960
14a454881c76
155821324333
hex319c48f650

213075424848 has 80 divisors (see below), whose sum is σ = 646676485056. Its totient is φ = 59601515520.

The previous prime is 213075424841. The next prime is 213075424853. The reversal of 213075424848 is 848424570312.

It is a super-2 number, since 2×2130754248482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 213075424797 and 213075424806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213075424841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15514365 + ... + 15528092.

Almost surely, 2213075424848 is an apocalyptic number.

It is an amenable number.

213075424848 is an abundant number, since it is smaller than the sum of its proper divisors (433601060208).

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

213075424848 is a wasteful number, since it uses less digits than its factorization.

213075424848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31042492 (or 31042486 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 213075424848 in words is "two hundred thirteen billion, seventy-five million, four hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 31042457 62084914 93127371 124169828 186254742 248339656 341467027 372509484 403551941 496679312 682934054 745018968 807103882 1024401081 1210655823 1365868108 1490037936 1614207764 2048802162 2421311646 2731736216 3228415528 4097604324 4439071351 4842623292 5463472432 6456831056 8195208648 8878142702 9685246584 13317214053 16390417296 17756285404 19370493168 26634428106 35512570808 53268856212 71025141616 106537712424 213075424848