Search a number
-
+
73514390768 = 247132910915973
BaseRepresentation
bin100010001110111001…
…1001001010011110000
321000202100021222200122
41010131303021103300
52201024141001033
653434432305412
75211520003610
oct1043563112360
9230670258618
1073514390768
11291a4a58955
12122b79a2268
136c17582210
1437b567ca40
151da3e11a98
hex111dcc94f0

73514390768 has 160 divisors (see below), whose sum is σ = 183023702400. Its totient is φ = 27820412928.

The previous prime is 73514390753. The next prime is 73514390773. The reversal of 73514390768 is 86709341537.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 4594430 + ... + 4610402.

It is an arithmetic number, because the mean of its divisors is an integer number (1143898140).

Almost surely, 273514390768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73514390768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91511851200).

73514390768 is an abundant number, since it is smaller than the sum of its proper divisors (109509311632).

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

73514390768 is a wasteful number, since it uses less digits than its factorization.

73514390768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16139 (or 16133 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 53.

The spelling of 73514390768 in words is "seventy-three billion, five hundred fourteen million, three hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 109 112 116 182 203 208 218 232 364 377 406 436 464 728 754 763 812 872 1417 1456 1508 1526 1624 1744 2639 2834 3016 3052 3161 3248 5278 5668 6032 6104 6322 9919 10556 11336 12208 12644 15973 19838 21112 22127 22672 25288 31946 39676 41093 42224 44254 50576 63892 79352 82186 88508 111811 127784 158704 164372 177016 207649 223622 255568 287651 328744 354032 415298 447244 463217 575302 657488 830596 894488 926434 1150604 1453543 1661192 1741057 1788976 1852868 2301208 2907086 3242519 3322384 3482114 3705736 4602416 5814172 6021821 6485038 6964228 7411472 11628344 12043642 12187399 12970076 13928456 22633741 23256688 24087284 24374798 25940152 27856912 42152747 45267482 48174568 48749596 50490653 51880304 84305494 90534964 96349136 97499192 100981306 158436187 168610988 181069928 194998384 201962612 316872374 337221976 353434571 362139856 403925224 633744748 656378489 674443952 706869142 807850448 1267489496 1312756978 1413738284 2534978992 2625513956 2827476568 4594649423 5251027912 5654953136 9189298846 10502055824 18378597692 36757195384 73514390768