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3995301380625 = 32542929192
BaseRepresentation
bin111010001000111010100…
…001010000001000010001
3112010221120102102002212100
4322020322201100020101
51010424334123140000
612255225514151013
7561436202255262
oct72107241201021
915127512362770
103995301380625
111300441521365
12546396422469
1322c9a852c199
14db5332d0969
156ddd8736a00
hex3a23a850211

3995301380625 has 135 divisors (see below), whose sum is σ = 7476810844503. Its totient is φ = 2055111912000.

The previous prime is 3995301380557. The next prime is 3995301380677. The reversal of 3995301380625 is 5260831035993.

The square root of 3995301380625 is 1998825.

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

3995301380625 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 3 + 0 + 1 + 3 + 8 + 0 + 625 = 666.

3995301380625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 2988192792321 + 1007108588304 = 1728639^2 + 1003548^2 .

It is not a de Polignac number, because 3995301380625 - 221 = 3995299283473 is a prime.

It is a super-2 number, since 2×39953013806252 (a number of 26 digits) contains 22 as substring.

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, 4347443916 + ... + 4347444834.

Almost surely, 23995301380625 is an apocalyptic number.

3995301380625 is the 1998825-th square number.

3995301380625 is the 999413-rd centered octagonal number.

It is an amenable number.

3995301380625 is a deficient number, since it is larger than the sum of its proper divisors (3481509463878).

3995301380625 is an frugal number, since it uses more digits than its factorization.

3995301380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3995301380625 in words is "three trillion, nine hundred ninety-five billion, three hundred one million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 625 725 841 919 1125 1305 1875 2175 2523 2757 3625 4205 4595 5625 6525 7569 8271 10875 12615 13785 18125 21025 22975 26651 32625 37845 41355 54375 63075 68925 79953 105125 114875 133255 163125 189225 206775 239859 315375 344625 399765 525625 574375 666275 772879 844561 946125 1033875 1199295 1576875 1723125 1998825 2318637 2533683 3331375 3864395 4222805 4730625 5169375 5996475 6955911 7601049 9994125 11593185 12668415 16656875 19321975 21114025 24492269 29982375 34779555 38005245 49970625 57965925 63342075 73476807 96609875 105570125 122461345 149911875 173897775 190026225 220430421 289829625 316710375 367384035 483049375 527850625 612306725 710275801 869488875 950131125 1102152105 1449148125 1583551875 1836920175 2130827403 3061533625 3551379005 4347444375 4750655625 5510760525 6392482209 9184600875 10654137015 15307668125 17756895025 27553802625 31962411045 45923004375 53270685075 88784475125 137769013125 159812055225 266353425375 443922375625 799060276125 1331767126875 3995301380625