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39042993649 = 114232712
BaseRepresentation
bin100100010111001001…
…001100110111110001
310201202222021120120211
4210113021030313301
51114430001244044
625534110504121
72551343653552
oct442711146761
9121688246524
1039042993649
1115615830000
127697505041
1338b2a1970a
141c65452329
151037999634
hex91724cdf1

39042993649 has 45 divisors (see below), whose sum is σ = 45536710345. Its totient is φ = 33472254200.

The previous prime is 39042993641. The next prime is 39042993707. The reversal of 39042993649 is 94639924093.

The square root of 39042993649 is 197593.

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

39042993649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 39042993649 - 23 = 39042993641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39042993593 and 39042993602.

It is not an unprimeable number, because it can be changed into a prime (39042993641) 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, 549901284 + ... + 549901354.

Almost surely, 239042993649 is an apocalyptic number.

39042993649 is the 197593-rd square number.

39042993649 is the 98797-th centered octagonal number.

It is an amenable number.

39042993649 is a deficient number, since it is larger than the sum of its proper divisors (6493716696).

39042993649 is an frugal number, since it uses more digits than its factorization.

39042993649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 11337408, while the sum is 58.

The spelling of 39042993649 in words is "thirty-nine billion, forty-two million, nine hundred ninety-three thousand, six hundred forty-nine".

Divisors: 1 11 23 71 121 253 529 781 1331 1633 2783 5041 5819 8591 14641 17963 30613 37559 55451 64009 94501 115943 197593 336743 413149 609961 704099 1039511 1275373 2173523 2666689 4544639 6709571 7745089 14029103 23908753 29333579 49991029 73805281 154320133 322669369 549901319 1697521463 3549363059 39042993649