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39999995948025 = 325247289712
BaseRepresentation
bin10010001100001001110011…
…00011001010101111111001
312020121221222111022011001100
421012010321203022233321
520220324442430314100
6221023424445242013
711265622121436261
oct1106047143125771
9166557874264040
1039999995948025
11118219a2a07833
1245a0325863309
131941ca27a9349
149c401db427a1
154957596bb400
hex2461398cabf9

39999995948025 has 81 divisors (see below), whose sum is σ = 73209380558223. Its totient is φ = 20877103072800.

The previous prime is 39999995947973. The next prime is 39999995948039. The reversal of 39999995948025 is 52084959999993.

The square root of 39999995948025 is 6324555.

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

39999995948025 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 9 + 9 + 9 + 594 + 8 + 0 + 2 + 5 = 666.

39999995948025 is digitally balanced in base 2, 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 only one way, i.e., 14399998541289 + 25599997406736 = 3794733^2 + 5059644^2 .

It is not a de Polignac number, because 39999995948025 - 213 = 39999995939833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4458806790 + ... + 4458815760.

Almost surely, 239999995948025 is an apocalyptic number.

39999995948025 is the 6324555-th square number.

39999995948025 is the 3162278-th centered octagonal number.

It is an amenable number.

39999995948025 is a deficient number, since it is larger than the sum of its proper divisors (33209384610198).

39999995948025 is an frugal number, since it uses more digits than its factorization.

39999995948025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052 (or 9026 counting only the distinct ones).

The product of its (nonzero) digits is 22958251200, while the sum is 90.

The spelling of 39999995948025 in words is "thirty-nine trillion, nine hundred ninety-nine billion, nine hundred ninety-five million, nine hundred forty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 141 225 235 423 705 1175 2115 2209 3525 6627 8971 10575 11045 19881 26913 33135 44855 55225 80739 99405 134565 165675 224275 403695 421637 497025 672825 1264911 2018475 2108185 3794733 6324555 10540925 18973665 19816939 31622775 59450817 80478841 94868325 99084695 178352451 241436523 297254085 402394205 495423475 724309569 891762255 1207182615 1486270425 2011971025 3621547845 3782505527 4458811275 6035913075 11347516581 18107739225 18912527635 34042549743 56737582905 94562638175 170212748715 177777759769 283687914525 533333279307 851063743575 888888798845 1599999837921 2666666396535 4444443994225 7999999189605 13333331982675 39999995948025