Search a number
-
+
51303321616 = 24172591731087
BaseRepresentation
bin101111110001111010…
…101001000000010000
311220102102020202202211
4233301322221000100
51320032122242431
635322440121504
73464226016141
oct576172510020
9156372222684
1051303321616
111a837429958
129b39466294
134ab7a9b851
1426a9877ac8
151503ede2b1
hexbf1ea9010

51303321616 has 120 divisors (see below), whose sum is σ = 108100938240. Its totient is φ = 23574644736.

The previous prime is 51303321613. The next prime is 51303321617. The reversal of 51303321616 is 61612330315.

It is not an unprimeable number, because it can be changed into a prime (51303321613) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47196625 + ... + 47197711.

It is an arithmetic number, because the mean of its divisors is an integer number (900841152).

Almost surely, 251303321616 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 51303321616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54050469120).

51303321616 is an abundant number, since it is smaller than the sum of its proper divisors (56797616624).

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

51303321616 is a wasteful number, since it uses less digits than its factorization.

51303321616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 51303321616 in words is "fifty-one billion, three hundred three million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 173 236 272 289 346 472 578 692 944 1003 1087 1156 1384 2006 2174 2312 2768 2941 4012 4348 4624 5882 8024 8696 10207 11764 16048 17051 17392 18479 20414 23528 34102 36958 40828 47056 49997 64133 68204 73916 81656 99994 128266 136408 147832 163312 173519 188051 199988 256532 272816 295664 314143 347038 376102 399976 513064 628286 694076 752204 799952 1026128 1090261 1256572 1388152 1504408 2180522 2513144 2776304 2949823 3008816 3196867 4361044 5026288 5899646 6393734 8722088 11095009 11799292 12787468 17444176 18534437 22190018 23598584 25574936 37068874 44380036 47197168 51149872 54346739 74137748 88760072 108693478 148275496 177520144 188615153 217386956 296550992 377230306 434773912 754460612 869547824 1508921224 3017842448 3206457601 6412915202 12825830404 25651660808 51303321616