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21968096940 = 2233540681661
BaseRepresentation
bin10100011101011001…
…101000111010101100
32002200222211221201000
4110131121220322230
5324442313100230
614031512320300
71405250512566
oct243531507254
962628757630
1021968096940
119353466419
1243110a3090
1320c1361a3a
1410c5838336
1588892ab60
hex51d668eac

21968096940 has 48 divisors (see below), whose sum is σ = 68345192160. Its totient is φ = 5858159040.

The previous prime is 21968096939. The next prime is 21968097037. The reversal of 21968096940 is 4969086912.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20340291 + ... + 20341370.

It is an arithmetic number, because the mean of its divisors is an integer number (1423858170).

Almost surely, 221968096940 is an apocalyptic number.

21968096940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21968096940 is an abundant number, since it is smaller than the sum of its proper divisors (46377095220).

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

21968096940 is a wasteful number, since it uses less digits than its factorization.

21968096940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40681679 (or 40681671 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 21968096940 in words is "twenty-one billion, nine hundred sixty-eight million, ninety-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40681661 81363322 122044983 162726644 203408305 244089966 366134949 406816610 488179932 610224915 732269898 813633220 1098404847 1220449830 1464539796 1830674745 2196809694 2440899660 3661349490 4393619388 5492024235 7322698980 10984048470 21968096940