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21422743272 = 2334715131277
BaseRepresentation
bin10011111100111001…
…010001111011101000
32001021222200010010000
4103330321101323220
5322333210241042
613501431423000
71355606212320
oct237471217350
961258603100
1021422743272
1190a3642107
12419a524a60
13203538a368
141073238280
15855b0474c
hex4fce51ee8

21422743272 has 160 divisors (see below), whose sum is σ = 69031797120. Its totient is φ = 6080054400.

The previous prime is 21422743241. The next prime is 21422743337. The reversal of 21422743272 is 27234722412.

21422743272 is a `hidden beast` number, since 21 + 42 + 274 + 327 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 669298 + ... + 700574.

It is an arithmetic number, because the mean of its divisors is an integer number (431448732).

Almost surely, 221422743272 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 21422743272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515898560).

21422743272 is an abundant number, since it is smaller than the sum of its proper divisors (47609053848).

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

21422743272 is a wasteful number, since it uses less digits than its factorization.

21422743272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31453 (or 31440 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The spelling of 21422743272 in words is "twenty-one billion, four hundred twenty-two million, seven hundred forty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 151 162 168 189 216 252 302 324 378 453 504 567 604 648 756 906 1057 1134 1208 1359 1512 1812 2114 2268 2718 3171 3624 4077 4228 4536 5436 6342 8154 8456 9513 10872 12231 12684 16308 19026 24462 25368 28539 31277 32616 38052 48924 57078 62554 76104 85617 93831 97848 114156 125108 171234 187662 218939 228312 250216 281493 342468 375324 437878 562986 656817 684936 750648 844479 875756 1125972 1313634 1688958 1751512 1970451 2251944 2533437 2627268 3377916 3940902 4722827 5066874 5254536 5911353 6755832 7881804 9445654 10133748 11822706 14168481 15763608 17734059 18891308 20267496 23645412 28336962 33059789 35468118 37782616 42505443 47290824 56673924 66119578 70936236 85010886 99179367 113347848 127516329 132239156 141872472 170021772 198358734 255032658 264478312 297538101 340043544 382548987 396717468 510065316 595076202 765097974 793434936 892614303 1020130632 1190152404 1530195948 1785228606 2380304808 2677842909 3060391896 3570457212 5355685818 7140914424 10711371636 21422743272