Search a number
-
+
21734475360 = 2535133483089
BaseRepresentation
bin10100001111011110…
…011100011001100000
32002002201020202010220
4110033132130121200
5324003011202420
613552405123040
71366412664243
oct241736343140
962081222126
1021734475360
1192435aa034
1242669b9480
132084b35210
1410a27c325a
1587317e840
hex50f79c660

21734475360 has 96 divisors (see below), whose sum is σ = 73730049120. Its totient is φ = 5350023168.

The previous prime is 21734475359. The next prime is 21734475377. The reversal of 21734475360 is 6357443712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1735305 + ... + 1747784.

It is an arithmetic number, because the mean of its divisors is an integer number (768021345).

Almost surely, 221734475360 is an apocalyptic number.

21734475360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21734475360 is an abundant number, since it is smaller than the sum of its proper divisors (51995573760).

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

21734475360 is a wasteful number, since it uses less digits than its factorization.

21734475360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483120 (or 3483112 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 21734475360 in words is "twenty-one billion, seven hundred thirty-four million, four hundred seventy-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 3483089 6966178 10449267 13932356 17415445 20898534 27864712 34830890 41797068 45280157 52246335 55729424 69661780 83594136 90560314 104492670 111458848 135840471 139323560 167188272 181120628 208985340 226400785 271680942 278647120 334376544 362241256 417970680 452801570 543361884 557294240 679202355 724482512 835941360 905603140 1086723768 1358404710 1448965024 1671882720 1811206280 2173447536 2716809420 3622412560 4346895072 5433618840 7244825120 10867237680 21734475360