Search a number
-
+
1928276613376 = 2859214712
BaseRepresentation
bin11100000011110110001…
…111100001100100000000
320211100012220122022002021
4130003312033201210000
5223043102303112001
64033501003531224
7256212330530431
oct34036617414400
96740186568067
101928276613376
11683860972953
12271867b29b14
1310cab3072729
1469487025488
153525b448ba1
hex1c0f63e1900

1928276613376 has 81 divisors (see below), whose sum is σ = 3918027773163. Its totient is φ = 947152657920.

The previous prime is 1928276613359. The next prime is 1928276613443. The reversal of 1928276613376 is 6733166728291.

It is a happy number.

The square root of 1928276613376 is 1388624.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1310860321 + ... + 1310861791.

Almost surely, 21928276613376 is an apocalyptic number.

1928276613376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1928276613376 is the 1388624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928276613376

1928276613376 is an abundant number, since it is smaller than the sum of its proper divisors (1989751159787).

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

1928276613376 is an frugal number, since it uses more digits than its factorization.

1928276613376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 1532 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 61.

The spelling of 1928276613376 in words is "one trillion, nine hundred twenty-eight billion, two hundred seventy-six million, six hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1471 1888 2942 3481 3776 5884 6962 7552 11768 13924 15104 23536 27848 47072 55696 86789 94144 111392 173578 188288 222784 347156 376576 445568 694312 891136 1388624 2163841 2777248 4327682 5120551 5554496 8655364 10241102 11108992 17310728 20482204 22217984 34621456 40964408 69242912 81928816 127666619 138485824 163857632 255333238 276971648 327715264 510666476 553943296 655430528 1021332952 1310861056 2042665904 4085331808 7532330521 8170663616 15064661042 16341327232 30129322084 32682654464 60258644168 120517288336 241034576672 482069153344 964138306688 1928276613376