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21743271936 = 22834
BaseRepresentation
bin10100010000000000…
…000000000000000000
32002010022210122210000
4110100000000000000
5324012234200221
613553321440000
71366550522241
oct242000000000
962108718700
1021743271936
119248568031
124269940000
1320868c50a9
1410a3a32cc8
15873d1ae26
hex510000000

21743271936 has 145 divisors (see below), whose sum is σ = 64961380231. Its totient is φ = 7247757312.

The previous prime is 21743271923. The next prime is 21743271967. The reversal of 21743271936 is 63917234712.

The square root of 21743271936 is 147456.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (2!)16.

21743271936 is a `hidden beast` number, since 21 + 7 + 432 + 7 + 193 + 6 = 666.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 21743271891 and 21743271900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 7247757311 + 7247757312 + 7247757313.

Almost surely, 221743271936 is an apocalyptic number.

21743271936 is the 147456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21743271936

21743271936 is an abundant number, since it is smaller than the sum of its proper divisors (43218108295).

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

21743271936 is an frugal number, since it uses more digits than its factorization.

21743271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 5 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 21743271936 in words is "twenty-one billion, seven hundred forty-three million, two hundred seventy-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 6144 6912 8192 9216 10368 12288 13824 16384 18432 20736 24576 27648 32768 36864 41472 49152 55296 65536 73728 82944 98304 110592 131072 147456 165888 196608 221184 262144 294912 331776 393216 442368 524288 589824 663552 786432 884736 1048576 1179648 1327104 1572864 1769472 2097152 2359296 2654208 3145728 3538944 4194304 4718592 5308416 6291456 7077888 8388608 9437184 10616832 12582912 14155776 16777216 18874368 21233664 25165824 28311552 33554432 37748736 42467328 50331648 56623104 67108864 75497472 84934656 100663296 113246208 134217728 150994944 169869312 201326592 226492416 268435456 301989888 339738624 402653184 452984832 603979776 679477248 805306368 905969664 1207959552 1358954496 1811939328 2415919104 2717908992 3623878656 5435817984 7247757312 10871635968 21743271936