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103794797584 = 2423923372
BaseRepresentation
bin110000010101010100…
…1101110110000010000
3100220220122020000220101
41200222221232300100
53200032432010314
6115403242422144
710333063136212
oct1405251566020
9326818200811
10103794797584
1140023503755
1218148801954
139a31a74bba
14504903a5b2
152a77479174
hex182aa6ec10

103794797584 has 45 divisors (see below), whose sum is σ = 202548402237. Its totient is φ = 51526900992.

The previous prime is 103794797581. The next prime is 103794797591. The reversal of 103794797584 is 485797497301.

It is a happy number.

The square root of 103794797584 is 322172.

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., 27989290000 + 75805507584 = 167300^2 + 275328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103794797581) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 307996264 + ... + 307996600.

Almost surely, 2103794797584 is an apocalyptic number.

103794797584 is the 322172-nd square number.

It is an amenable number.

103794797584 is a deficient number, since it is larger than the sum of its proper divisors (98753604653).

103794797584 is an frugal number, since it uses more digits than its factorization.

103794797584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

Multiplying 103794797584 by its sum of digits (64), we get a square (6642867045376 = 25773762).

The spelling of 103794797584 in words is "one hundred three billion, seven hundred ninety-four million, seven hundred ninety-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 239 337 478 674 956 1348 1912 2696 3824 5392 57121 80543 113569 114242 161086 227138 228484 322172 454276 456968 644344 908552 913936 1288688 1817104 19249777 27142991 38499554 54285982 76999108 108571964 153998216 217143928 307996432 434287856 6487174849 12974349698 25948699396 51897398792 103794797584