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72423908460 = 22335157854257
BaseRepresentation
bin100001101110011001…
…1010010010001101100
320220221100100202012000
41003130303102101230
52141311010032320
653134315412300
75142506031111
oct1033463222154
9226840322160
1072423908460
1128795454402
1212052754090
136aa2684707
1437108da908
151d3d30ac90
hex10dccd246c

72423908460 has 96 divisors (see below), whose sum is σ = 226754243520. Its totient is φ = 19190006784.

The previous prime is 72423908411. The next prime is 72423908489. The reversal of 72423908460 is 6480932427.

72423908460 is a `hidden beast` number, since 7 + 2 + 423 + 90 + 84 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 342349 + ... + 511908.

It is an arithmetic number, because the mean of its divisors is an integer number (2362023370).

Almost surely, 272423908460 is an apocalyptic number.

It is an amenable number.

72423908460 is an abundant number, since it is smaller than the sum of its proper divisors (154330335060).

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

72423908460 is a wasteful number, since it uses less digits than its factorization.

72423908460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854432 (or 854424 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 72423908460 in words is "seventy-two billion, four hundred twenty-three million, nine hundred eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 14130 16956 21195 28260 42390 84780 854257 1708514 2562771 3417028 4271285 5125542 7688313 8542570 10251084 12813855 15376626 17085140 23064939 25627710 30753252 38441565 46129878 51255420 76883130 92259756 115324695 134118349 153766260 230649390 268236698 402355047 461298780 536473396 670591745 804710094 1207065141 1341183490 1609420188 2011775235 2414130282 2682366980 3621195423 4023550470 4828260564 6035325705 7242390846 8047100940 12070651410 14484781692 18105977115 24141302820 36211954230 72423908460