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39706280869264 = 24271258132
BaseRepresentation
bin10010000011100110101101…
…10001000011110110010000
312012120212211222120012102221
421001303112301003312100
520201021430400304024
6220240451423550424
711235453440450302
oct1101632661036620
9165525758505387
1039706280869264
1111719380456919
12455341515b414
131920394a94b59
149b3b195b9972
1548ccb8b763e4
hex241cd6c43d90

39706280869264 has 45 divisors (see below), whose sum is σ = 77229130223649. Its totient is φ = 19776478916160.

The previous prime is 39706280869253. The next prime is 39706280869303. The reversal of 39706280869264 is 46296808260793.

The square root of 39706280869264 is 6301292.

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

It can be written as a sum of positive squares in only one way, i.e., 27583293920400 + 12122986948864 = 5251980^2 + 3481808^2 .

It is a super-2 number, since 2×397062808692642 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 39706280869193 and 39706280869202.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6830597622 + ... + 6830603434.

Almost surely, 239706280869264 is an apocalyptic number.

39706280869264 is the 6301292-nd square number.

It is an amenable number.

39706280869264 is a deficient number, since it is larger than the sum of its proper divisors (37522849354385).

39706280869264 is an frugal number, since it uses more digits than its factorization.

39706280869264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 70.

The spelling of 39706280869264 in words is "thirty-nine trillion, seven hundred six billion, two hundred eighty million, eight hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 271 542 1084 2168 4336 5813 11626 23252 46504 73441 93008 146882 293764 587528 1175056 1575323 3150646 6301292 12602584 25205168 33790969 67581938 135163876 270327752 426912533 540655504 853825066 1707650132 3415300264 6830600528 9157352599 18314705198 36629410396 73258820792 146517641584 2481642554329 4963285108658 9926570217316 19853140434632 39706280869264