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94384625280625 = 5419211321812
BaseRepresentation
bin10101011101011110100010…
…000011111110011001110001
3110101012002012211002200100101
4111131132202003332121301
544332344203032440000
6532423410454152401
725611031000442251
oct2535364203763161
9411162184080311
1094384625280625
112808a327406979
12a704458052701
1340885800789c4
1419443512db961
15ada26259ce6a
hex55d7a20fe671

94384625280625 has 135 divisors (see below), whose sum is σ = 126286277712309. Its totient is φ = 70508854080000.

The previous prime is 94384625280607. The next prime is 94384625280629. The reversal of 94384625280625 is 52608252648349.

The square root of 94384625280625 is 9715175.

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

It can be written as a sum of positive squares in 22 ways, for example, as 195193425249 + 94189431855376 = 441807^2 + 9705124^2 .

It is not a de Polignac number, because 94384625280625 - 25 = 94384625280593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94384625280629) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 521462018035 + ... + 521462018215.

Almost surely, 294384625280625 is an apocalyptic number.

94384625280625 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

94384625280625 is the 9715175-th square number.

94384625280625 is the 4857588-th centered octagonal number.

It is an amenable number.

94384625280625 is a deficient number, since it is larger than the sum of its proper divisors (31901652431684).

94384625280625 is an frugal number, since it uses more digits than its factorization.

94384625280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 64.

The spelling of 94384625280625 in words is "ninety-four trillion, three hundred eighty-four billion, six hundred twenty-five million, two hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 19 25 95 113 125 181 361 475 565 625 905 1805 2147 2375 2825 3439 4525 9025 10735 11875 12769 14125 17195 20453 22625 32761 40793 45125 53675 63845 65341 70625 85975 102265 113125 163805 203965 225625 242611 268375 319225 326705 388607 429875 511325 622459 819025 1019825 1213055 1341875 1596125 1633525 1943035 2149375 2311189 2556625 3112295 3701993 4095125 4609609 5099125 6065275 7383533 7980625 8167625 9715175 11555945 11826721 12783125 15561475 18509965 20475625 23048045 25495625 30326375 36917665 40838125 43912591 48575875 57779725 59133605 70337867 77807375 92549825 115240225 151631875 184588325 219562955 242879375 288898625 295668025 351689335 389036875 418325209 462749125 576201125 834339229 922941625 1097814775 1336419473 1444493125 1478340125 1758446675 2091626045 2313745625 2881005625 4171696145 4614708125 5489073875 6682097365 7391700625 7948178971 8792233375 10458130225 20858480725 27445369375 33410486825 39740894855 43961166875 52290651125 104292403625 151015400449 167052434125 198704474275 261453255625 521462018125 755077002245 835262170625 993522371375 3775385011225 4967611856875 18876925056125 94384625280625