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713233313020224 = 26323493548000801
BaseRepresentation
bin1010001000101011101001001…
…0010000111011100101000000
310110112100102211220022200111200
42202022322102100323211000
51221441103311113121344
611004530505523341200
7303142256250231063
oct24212722220734500
93415312756280450
10713233313020224
11197292605278187
1267bb1489521800
13247c87c74b2a19
14c81a9685da8da
15576cc7de98069
hex288ae9243b940

713233313020224 has 84 divisors (see below), whose sum is σ = 2050212263435700. Its totient is φ = 237063221452800.

The previous prime is 713233313020199. The next prime is 713233313020253. The reversal of 713233313020224 is 422020313332317.

713233313020224 is a `hidden beast` number, since 7 + 1 + 323 + 3 + 3 + 1 + 302 + 0 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 560518883078400 + 152714429941824 = 23675280^2 + 12357768^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1773799377 + ... + 1774201424.

It is an arithmetic number, because the mean of its divisors is an integer number (24407288850425).

Almost surely, 2713233313020224 is an apocalyptic number.

It is an amenable number.

713233313020224 is an abundant number, since it is smaller than the sum of its proper divisors (1336978950415476).

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

713233313020224 is a wasteful number, since it uses less digits than its factorization.

713233313020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548001168 (or 3548001155 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 713233313020224 in words is "seven hundred thirteen trillion, two hundred thirty-three billion, three hundred thirteen million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 349 576 698 1047 1396 2094 2792 3141 4188 5584 6282 8376 11168 12564 16752 22336 25128 33504 50256 67008 100512 201024 3548000801 7096001602 10644002403 14192003204 21288004806 28384006408 31932007209 42576009612 56768012816 63864014418 85152019224 113536025632 127728028836 170304038448 227072051264 255456057672 340608076896 510912115344 681216153792 1021824230688 1238252279549 2043648461376 2476504559098 3714756838647 4953009118196 7429513677294 9906018236392 11144270515941 14859027354588 19812036472784 22288541031882 29718054709176 39624072945568 44577082063764 59436109418352 79248145891136 89154164127528 118872218836704 178308328255056 237744437673408 356616656510112 713233313020224