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21481640730 = 23251119260107
BaseRepresentation
bin10100000000011001…
…111101001100011010
32001110002111102020100
4110000121331030122
5322443300000410
613511334040230
71360222635114
oct240031751432
961402442210
1021481640730
11912390a6a0
1241b61a9076
13204463c524
14107adaa3b4
1585ad8a8c0
hex50067d31a

21481640730 has 144 divisors (see below), whose sum is σ = 64306423584. Its totient is φ = 4933500480.

The previous prime is 21481640647. The next prime is 21481640779. The reversal of 21481640730 is 3704618412.

21481640730 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 1 + 640 + 7 + 3 + 0 = 666.

It is a super-2 number, since 2×214816407302 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 327337 + ... + 387443.

It is an arithmetic number, because the mean of its divisors is an integer number (446572386).

Almost surely, 221481640730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21481640730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32153211792).

21481640730 is an abundant number, since it is smaller than the sum of its proper divisors (42824782854).

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

21481640730 is a wasteful number, since it uses less digits than its factorization.

21481640730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60169 (or 60147 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 21481640730 in words is "twenty-one billion, four hundred eighty-one million, six hundred forty thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 66 90 95 99 110 114 165 171 190 198 209 285 330 342 361 418 495 570 627 722 855 990 1045 1083 1254 1710 1805 1881 2090 2166 3135 3249 3610 3762 3971 5415 6270 6498 7942 9405 10830 11913 16245 18810 19855 23826 32490 35739 39710 59565 60107 71478 119130 120214 178695 180321 300535 357390 360642 540963 601070 661177 901605 1081926 1142033 1322354 1803210 1983531 2284066 2704815 3305885 3426099 3967062 5409630 5710165 5950593 6611770 6852198 9917655 10278297 11420330 11901186 12562363 17130495 19835310 20556594 21698627 25124726 29752965 34260990 37687089 43397254 51391485 59505930 62811815 65095881 75374178 102782970 108493135 113061267 125623630 130191762 188435445 195287643 216986270 226122534 238684897 325479405 376870890 390575286 477369794 565306335 650958810 716054691 976438215 1130612670 1193424485 1432109382 1952876430 2148164073 2386848970 3580273455 4296328146 7160546910 10740820365 21481640730