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21294436072 = 237313673887
BaseRepresentation
bin10011110101001111…
…110100111011101000
32000222001020102201111
4103311033310323220
5322102333423242
613441005400104
71352460502000
oct236517647350
960861212644
1021294436072
119038176aa8
124163569034
132014915240
141060199000
1584970c817
hex4f53f4ee8

21294436072 has 128 divisors (see below), whose sum is σ = 50275008000. Its totient is φ = 8402171904.

The previous prime is 21294436061. The next prime is 21294436073. The reversal of 21294436072 is 27063449212.

It is not an unprimeable number, because it can be changed into a prime (21294436073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24006813 + ... + 24007699.

It is an arithmetic number, because the mean of its divisors is an integer number (392773500).

Almost surely, 221294436072 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 21294436072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25137504000).

21294436072 is an abundant number, since it is smaller than the sum of its proper divisors (28980571928).

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

21294436072 is a wasteful number, since it uses less digits than its factorization.

21294436072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 21294436072 in words is "twenty-one billion, two hundred ninety-four million, four hundred thirty-six thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 673 686 728 887 1274 1346 1372 1774 2548 2692 2744 3548 4459 4711 5096 5384 6209 7096 8749 8918 9422 11531 12418 17498 17836 18844 23062 24836 32977 34996 35672 37688 43463 46124 49672 61243 65954 69992 80717 86926 92248 122486 131908 161434 173852 230839 244972 263816 304241 322868 347704 428701 461678 489944 565019 596951 608482 645736 857402 923356 1130038 1193902 1216964 1714804 1846712 2260076 2387804 2433928 3000907 3429608 3955133 4178657 4520152 4775608 6001814 7760363 7910266 8357314 12003628 15520726 15820532 16714628 24007256 29250599 31041452 31641064 33429256 54322541 58501198 62082904 108645082 117002396 204754193 217290164 234004792 380257787 409508386 434580328 760515574 819016772 1521031148 1638033544 2661804509 3042062296 5323609018 10647218036 21294436072