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95068837605625 = 5413219215792
BaseRepresentation
bin10101100111011011110000…
…010010110111000011111001
3110110121111021202022002102121
4111213123300102313003321
544430101434411340000
6534110004315001241
726011332264314632
oct2547336022670371
9413544252262377
1095068837605625
1128323516430684
12a7b4b89439221
134107c50740900
1419694db940889
15aece5a600b1a
hex5676f04b70f9

95068837605625 has 135 divisors (see below), whose sum is σ = 135852141979323. Its totient is φ = 66467575512000.

The previous prime is 95068837605613. The next prime is 95068837605647. The reversal of 95068837605625 is 52650673886059.

The square root of 95068837605625 is 9750325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 93902359844329 + 1166477761296 = 9690323^2 + 1080036^2 .

It is not a de Polignac number, because 95068837605625 - 25 = 95068837605593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 60208256086 + ... + 60208257664.

Almost surely, 295068837605625 is an apocalyptic number.

95068837605625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

95068837605625 is the 9750325-th square number.

95068837605625 is the 4875163-rd centered octagonal number.

It is an amenable number.

95068837605625 is a deficient number, since it is larger than the sum of its proper divisors (40783304373698).

95068837605625 is an frugal number, since it uses more digits than its factorization.

95068837605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 70.

The spelling of 95068837605625 in words is "ninety-five trillion, sixty-eight billion, eight hundred thirty-seven million, six hundred five thousand, six hundred twenty-five".

Divisors: 1 5 13 19 25 65 95 125 169 247 325 361 475 625 845 1235 1579 1625 1805 2375 3211 4225 4693 6175 7895 8125 9025 11875 16055 20527 21125 23465 30001 30875 39475 45125 61009 80275 102635 105625 117325 150005 154375 197375 225625 266851 305045 390013 401375 513175 570019 586625 750025 986875 1334255 1525225 1950065 2006875 2493241 2565875 2850095 2933125 3750125 5070169 6671275 7410247 7626125 9750325 12466205 12829375 14250475 18750625 25350845 32412133 33356375 37051235 38130625 47371579 48751625 62331025 71252375 96333211 126754225 162060665 166781875 185256175 236857895 243758125 311655125 356261875 421357729 481666055 615830527 633771125 810303325 900060001 926280875 1184289475 1558275625 2106788645 2408330275 3079152635 3168855625 4051516625 4500300005 4631404375 5921447375 8005796851 10533943225 11700780013 12041651375 15395763175 20257583125 22501500025 29607236875 40028984255 52669716125 58503900065 60208256875 76978815875 112507500125 152110140169 200144921275 263348580625 292519500325 384894079375 562537500625 760550700845 1000724606375 1462597501625 3802753504225 5003623031875 7312987508125 19013767521125 95068837605625