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21246782920 = 23511172167087
BaseRepresentation
bin10011110010011010…
…000010110111001000
32000211201120101212221
4103302122002313020
5322003134023140
613432144143424
71351341450346
oct236232026710
960751511787
1021246782920
119013289530
12414b607b74
132007a9c0cc
141057b12996
1584544814a
hex4f2682dc8

21246782920 has 96 divisors (see below), whose sum is σ = 55399697280. Its totient is φ = 7271582720.

The previous prime is 21246782863. The next prime is 21246782929. The reversal of 21246782920 is 2928764212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21246782929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43617 + ... + 210703.

It is an arithmetic number, because the mean of its divisors is an integer number (577080180).

Almost surely, 221246782920 is an apocalyptic number.

21246782920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21246782920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27699848640).

21246782920 is an abundant number, since it is smaller than the sum of its proper divisors (34152914360).

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

21246782920 is a wasteful number, since it uses less digits than its factorization.

21246782920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167143 (or 167122 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 21246782920 in words is "twenty-one billion, two hundred forty-six million, seven hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 289 340 374 440 578 680 748 935 1156 1445 1496 1870 2312 2890 3179 3740 5780 6358 7480 11560 12716 15895 25432 31790 63580 127160 167087 334174 668348 835435 1336696 1670870 1837957 2840479 3341740 3675914 5680958 6683480 7351828 9189785 11361916 14202395 14703656 18379570 22723832 28404790 31245269 36759140 48288143 56809580 62490538 73518280 96576286 113619160 124981076 156226345 193152572 241440715 249962152 312452690 386305144 482881430 531169573 624905380 965762860 1062339146 1249810760 1931525720 2124678292 2655847865 4249356584 5311695730 10623391460 21246782920