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3990905175625 = 5441219492
BaseRepresentation
bin111010000100110100011…
…111000011111001001001
3112010112020001011202022221
4322010310133003321021
51010341333211110000
612253221352214041
7561222231164134
oct72046437037111
915115201152287
103990905175625
1112a9595a24495
1254556a09a321
1322c4577c7654
14db2374c321b
156dc2c7ec61a
hex3a1347c3e49

3990905175625 has 45 divisors (see below), whose sum is σ = 5114260860313. Its totient is φ = 3113254640000.

The previous prime is 3990905175617. The next prime is 3990905175629. The reversal of 3990905175625 is 5265715090993.

The square root of 3990905175625 is 1997725.

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

3990905175625 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 3007404550969 + 983500624656 = 1734187^2 + 991716^2 .

It is not a de Polignac number, because 3990905175625 - 23 = 3990905175617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3990905175629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2047667151 + ... + 2047669099.

Almost surely, 23990905175625 is an apocalyptic number.

3990905175625 is the 1997725-th square number.

3990905175625 is the 998863-rd centered octagonal number.

It is an amenable number.

3990905175625 is a deficient number, since it is larger than the sum of its proper divisors (1123355684688).

3990905175625 is an frugal number, since it uses more digits than its factorization.

3990905175625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 22963500, while the sum is 61.

The spelling of 3990905175625 in words is "three trillion, nine hundred ninety billion, nine hundred five million, one hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 205 625 1025 1681 1949 5125 8405 9745 25625 42025 48725 79909 210125 243625 399545 1050625 1218125 1997725 3276269 3798601 9988625 16381345 18993005 49943125 81906725 94965025 155742641 409533625 474825125 778713205 2047668125 2374125625 3893566025 6385448281 19467830125 31927241405 97339150625 159636207025 798181035125 3990905175625