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4258238602500 = 223254137572
BaseRepresentation
bin111101111101110010110…
…011001001110100000100
3120002002020222011221001100
4331331302303021310010
51024231333040240000
613020112515300100
7616435056625131
oct75756263116404
916062228157040
104258238602500
1113a19aa751913
125893375aa630
1324b71c97c43c
1410a157da9588
1575b77201a00
hex3df72cc9d04

4258238602500 has 135 divisors (see below), whose sum is σ = 13451523382297. Its totient is φ = 1135447752000.

The previous prime is 4258238602411. The next prime is 4258238602511. The reversal of 4258238602500 is 52068328524.

The square root of 4258238602500 is 2063550.

It is a perfect power (a square), and thus also a powerful number.

4258238602500 is a `hidden beast` number, since 4 + 2 + 5 + 8 + 2 + 38 + 602 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 4232080068804 + 26158533696 = 2057202^2 + 161736^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 309525622 + ... + 309539378.

Almost surely, 24258238602500 is an apocalyptic number.

4258238602500 is the 2063550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4258238602500

4258238602500 is an abundant number, since it is smaller than the sum of its proper divisors (9193284779797).

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

4258238602500 is an frugal number, since it uses more digits than its factorization.

4258238602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4258238602500 in words is "four trillion, two hundred fifty-eight billion, two hundred thirty-eight million, six hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 13757 22500 27514 41271 55028 68785 82542 123813 137570 165084 206355 247626 275140 343925 412710 495252 619065 687850 825420 1031775 1238130 1375700 1719625 2063550 2476260 3095325 3439250 4127100 5158875 6190650 6878500 8598125 10317750 12381300 15476625 17196250 20635500 25794375 30953250 34392500 51588750 61906500 77383125 103177500 154766250 189255049 309532500 378510098 567765147 757020196 946275245 1135530294 1703295441 1892550490 2271060588 2838825735 3406590882 3785100980 4731376225 5677651470 6813181764 8516477205 9462752450 11355302940 14194128675 17032954410 18925504900 23656881125 28388257350 34065908820 42582386025 47313762250 56776514700 70970643375 85164772050 94627524500 118284405625 141941286750 170329544100 212911930125 236568811250 283882573500 354853216875 425823860250 473137622500 709706433750 851647720500 1064559650625 1419412867500 2129119301250 4258238602500