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21192802304 = 215312673
BaseRepresentation
bin10011101111001100…
…001000000000000000
32000200221222220101212
4103233030020000000
5321400324133204
613422535145252
71350114563432
oct235714100000
960627886355
1021192802304
118a9586a053
124135515228
131cc984bc0b
1410508a0652
15840833c6e
hex4ef308000

21192802304 has 96 divisors (see below), whose sum is σ = 43861395870. Its totient is φ = 10239344640.

The previous prime is 21192802271. The next prime is 21192802363. The reversal of 21192802304 is 40320829112.

It can be written as a sum of positive squares in only one way, i.e., 19287654400 + 1905147904 = 138880^2 + 43648^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31489712 + ... + 31490384.

Almost surely, 221192802304 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 21192802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21930697935).

21192802304 is an abundant number, since it is smaller than the sum of its proper divisors (22668593566).

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

21192802304 is an frugal number, since it uses more digits than its factorization.

21192802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 21192802304 in words is "twenty-one billion, one hundred ninety-two million, eight hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 673 961 992 1024 1346 1922 1984 2048 2692 3844 3968 4096 5384 7688 7936 8192 10768 15376 15872 16384 20863 21536 30752 31744 32768 41726 43072 61504 63488 83452 86144 123008 126976 166904 172288 246016 253952 333808 344576 492032 507904 646753 667616 689152 984064 1015808 1293506 1335232 1378304 1968128 2587012 2670464 2756608 3936256 5174024 5340928 5513216 7872512 10348048 10681856 11026432 15745024 20696096 21363712 22052864 31490048 41392192 42727424 82784384 85454848 165568768 170909696 331137536 341819392 662275072 683638784 1324550144 2649100288 5298200576 10596401152 21192802304