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21940938072 = 23331710755843
BaseRepresentation
bin10100011011110010…
…000010010101011000
32002122002202010202000
4110123302002111120
5324413340004242
614025102241000
71404500616324
oct243362022530
962562663660
1021940938072
11933a0a6579
124303b86160
1320b8842cc1
1410c1da8984
15886363a4c
hex51bc82558

21940938072 has 128 divisors (see below), whose sum is σ = 65136441600. Its totient is φ = 6818978304.

The previous prime is 21940938037. The next prime is 21940938073. The reversal of 21940938072 is 27083904912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21940938073) 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, 364983 + ... + 420825.

It is an arithmetic number, because the mean of its divisors is an integer number (508878450).

Almost surely, 221940938072 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 21940938072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32568220800).

21940938072 is an abundant number, since it is smaller than the sum of its proper divisors (43195503528).

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

21940938072 is a wasteful number, since it uses less digits than its factorization.

21940938072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55982 (or 55972 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 21940938072 in words is "twenty-one billion, nine hundred forty million, nine hundred thirty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 107 108 136 153 204 214 216 306 321 408 428 459 612 642 856 918 963 1224 1284 1819 1836 1926 2568 2889 3638 3672 3852 5457 5778 7276 7704 10914 11556 14552 16371 21828 23112 32742 43656 49113 55843 65484 98226 111686 130968 167529 196452 223372 335058 392904 446744 502587 670116 949331 1005174 1340232 1507761 1898662 2010348 2847993 3015522 3797324 4020696 5695986 5975201 6031044 7594648 8543979 11391972 11950402 12062088 17087958 17925603 22783944 23900804 25631937 34175916 35851206 47801608 51263874 53776809 68351832 71702412 101578417 102527748 107553618 143404824 161330427 203156834 205055496 215107236 304735251 322660854 406313668 430214472 609470502 645321708 812627336 914205753 1218941004 1290643416 1828411506 2437882008 2742617259 3656823012 5485234518 7313646024 10970469036 21940938072