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9060677929216 = 2841924492
BaseRepresentation
bin1000001111011001101001…
…1111010100100100000000
31012002012012020001000011001
42003312122133110210000
52141422232022213331
631134230141101344
71623420021442054
oct203663237244400
935065166030131
109060677929216
112983680530471
12102402a857854
13509558bcc414
14234779609c64
1510aa506e2561
hex83d9a7d4900

9060677929216 has 81 divisors (see below), whose sum is σ = 18169697022841. Its totient is φ = 4509460938752.

The previous prime is 9060677929211. The next prime is 9060677929229. The reversal of 9060677929216 is 6129297760609.

The square root of 9060677929216 is 3010096.

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., 5537098434816 + 3523579494400 = 2353104^2 + 1877120^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9060677929211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20179683360 + ... + 20179683808.

Almost surely, 29060677929216 is an apocalyptic number.

9060677929216 is the 3010096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9060677929216

9060677929216 is an abundant number, since it is smaller than the sum of its proper divisors (9109019093625).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9060677929216 is an frugal number, since it uses more digits than its factorization.

9060677929216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 64.

Multiplying 9060677929216 by its sum of digits (64), we get a square (579883387469824 = 240807682).

9060677929216 divided by its sum of digits (64) gives a square (141573092644 = 3762622).

The spelling of 9060677929216 in words is "nine trillion, sixty billion, six hundred seventy-seven million, nine hundred twenty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 419 449 838 898 1676 1796 3352 3592 6704 7184 13408 14368 26816 28736 53632 57472 107264 114944 175561 188131 201601 351122 376262 403202 702244 752524 806404 1404488 1505048 1612808 2808976 3010096 3225616 5617952 6020192 6451232 11235904 12040384 12902464 22471808 24080768 25804928 44943616 48161536 51609856 78826889 84470819 157653778 168941638 315307556 337883276 630615112 675766552 1261230224 1351533104 2522460448 2703066208 5044920896 5406132416 10089841792 10812264832 20179683584 21624529664 35393273161 70786546322 141573092644 283146185288 566292370576 1132584741152 2265169482304 4530338964608 9060677929216