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21979764720 = 243453391939
BaseRepresentation
bin10100011110000110…
…001001011111110000
32002201210210201220000
4110132012021133300
5330003304432340
614033010350000
71405451626464
oct243606113760
962653721800
1021979764720
11935a005611
124314b8b300
1320c38b8754
1410c71d44a4
15889982d30
hex51e1897f0

21979764720 has 100 divisors (see below), whose sum is σ = 76339001640. Its totient is φ = 5861268864.

The previous prime is 21979764707. The next prime is 21979764727. The reversal of 21979764720 is 2746797912.

It is a super-2 number, since 2×219797647202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21979764727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1689490 + ... + 1702449.

Almost surely, 221979764720 is an apocalyptic number.

21979764720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21979764720 is an abundant number, since it is smaller than the sum of its proper divisors (54359236920).

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

21979764720 is a wasteful number, since it uses less digits than its factorization.

21979764720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391964 (or 3391949 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 21979764720 in words is "twenty-one billion, nine hundred seventy-nine million, seven hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 3391939 6783878 10175817 13567756 16959695 20351634 27135512 30527451 33919390 40703268 50879085 54271024 61054902 67838780 81406536 91582353 101758170 122109804 135677560 152637255 162813072 183164706 203516340 244219608 271355120 274747059 305274510 366329412 407032680 457911765 488439216 549494118 610549020 732658824 814065360 915823530 1098988236 1221098040 1373735295 1465317648 1831647060 2197976472 2442196080 2747470590 3663294120 4395952944 5494941180 7326588240 10989882360 21979764720