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21933375296 = 267224129021
BaseRepresentation
bin10100011011010101…
…001011111101000000
32002121120111220120012
4110123111023331000
5324404421002141
614024232204052
71404346420400
oct243325137500
962546456505
1021933375296
119335900548
124301539628
1320b70c58a1
1410c0d9a800
1588586cceb
hex51b54bf40

21933375296 has 84 divisors (see below), whose sum is σ = 50841842436. Its totient is φ = 9360691200.

The previous prime is 21933375283. The next prime is 21933375301. The reversal of 21933375296 is 69257333912.

It can be written as a sum of positive squares in 2 ways, for example, as 19694192896 + 2239182400 = 140336^2 + 47320^2 .

It is a super-3 number, since 3×219333752963 (a number of 32 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741266 + ... + 770286.

It is an arithmetic number, because the mean of its divisors is an integer number (605260029).

Almost surely, 221933375296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21933375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420921218).

21933375296 is an abundant number, since it is smaller than the sum of its proper divisors (28908467140).

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

21933375296 is a wasteful number, since it uses less digits than its factorization.

21933375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29288 (or 29271 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 50.

The spelling of 21933375296 in words is "twenty-one billion, nine hundred thirty-three million, three hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 241 392 448 482 784 964 1568 1687 1928 3136 3374 3856 6748 7712 11809 13496 15424 23618 26992 29021 47236 53984 58042 94472 107968 116084 188944 203147 232168 377888 406294 464336 755776 812588 928672 1422029 1625176 1857344 2844058 3250352 5688116 6500704 6994061 11376232 13001408 13988122 22752464 27976244 45504928 48958427 55952488 91009856 97916854 111904976 195833708 223809952 342708989 391667416 447619904 685417978 783334832 1370835956 1566669664 2741671912 3133339328 5483343824 10966687648 21933375296