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23132336640 = 29357430289
BaseRepresentation
bin10101100010110010…
…110111001000000000
32012201010120110022220
4111202302313020000
5334333334233030
614343222131040
71446145421460
oct254262671000
965633513286
1023132336640
1198a0667996
124596b80a80
13224861537a
1411962d9ba0
15905c50a10
hex562cb7200

23132336640 has 160 divisors (see below), whose sum is σ = 84515840640. Its totient is φ = 5287378944.

The previous prime is 23132336639. The next prime is 23132336671. The reversal of 23132336640 is 4663323132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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, 161385 + ... + 268904.

It is an arithmetic number, because the mean of its divisors is an integer number (528224004).

Almost surely, 223132336640 is an apocalyptic number.

23132336640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23132336640 is an abundant number, since it is smaller than the sum of its proper divisors (61383504000).

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

23132336640 is an equidigital number, since it uses as much as digits as its factorization.

23132336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430322 (or 430306 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 23132336640 its reverse (4663323132), we get a palindrome (27795659772).

The spelling of 23132336640 in words is "twenty-three billion, one hundred thirty-two million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 430289 860578 1290867 1721156 2151445 2581734 3012023 3442312 4302890 5163468 6024046 6454335 6884624 8605780 9036069 10326936 12048092 12908670 13769248 15060115 17211560 18072138 20653872 24096184 25817340 27538496 30120230 34423120 36144276 41307744 45180345 48192368 51634680 55076992 60240460 68846240 72288552 82615488 90360690 96384736 103269360 110153984 120480920 137692480 144577104 165230976 180721380 192769472 206538720 220307968 240961840 275384960 289154208 330461952 361442760 385538944 413077440 481923680 550769920 578308416 660923904 722885520 771077888 826154880 963847360 1101539840 1156616832 1445771040 1542155776 1652309760 1927694720 2313233664 2891542080 3304619520 3855389440 4626467328 5783084160 7710778880 11566168320 23132336640