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3995541243225 = 325272190372
BaseRepresentation
bin111010001001001000110…
…100010000010101011001
3112010222012010202101111100
4322021020310100111121
51010430332024240400
612255305403222013
7561445144126200
oct72111064202531
915128163671440
103995541243225
111300554960714
12546442817909
1322ca1613260c
14db5570cc237
156ddee817100
hex3a248d10559

3995541243225 has 81 divisors (see below), whose sum is σ = 8325296995197. Its totient is φ = 1826437193280.

The previous prime is 3995541243173. The next prime is 3995541243241. The reversal of 3995541243225 is 5223421455993.

The square root of 3995541243225 is 1998885.

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

3995541243225 is a `hidden beast` number, since 3 + 9 + 95 + 541 + 2 + 4 + 3 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2277071946009 + 1718469297216 = 1508997^2 + 1310904^2 .

It is not a de Polignac number, because 3995541243225 - 235 = 3961181504857 is a prime.

It is a Curzon number.

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 80 ways as a sum of consecutive naturals, for example, 209873407 + ... + 209892443.

Almost surely, 23995541243225 is an apocalyptic number.

3995541243225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3995541243225 is the 1998885-th square number.

3995541243225 is the 999443-rd centered octagonal number.

It is an amenable number.

3995541243225 is an abundant number, since it is smaller than the sum of its proper divisors (4329755751972).

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

3995541243225 is an frugal number, since it uses more digits than its factorization.

3995541243225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38104 (or 19052 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The spelling of 3995541243225 in words is "three trillion, nine hundred ninety-five billion, five hundred forty-one million, two hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 11025 19037 57111 95185 133259 171333 285555 399777 475925 666295 856665 932813 1199331 1427775 1998885 2798439 3331475 4283325 4664065 5996655 8395317 9994425 13992195 23320325 29983275 41976585 69960975 209882925 362407369 1087222107 1812036845 2536851583 3261666321 5436110535 7610554749 9060184225 12684257915 16308331605 17757961081 22831664247 27180552675 38052773745 53273883243 63421289575 81541658025 88789805405 114158321235 159821649729 190263868725 266369416215 443949027025 570791606175 799108248645 1331847081075 3995541243225