Search a number
-
+
5965066284 = 22317232934339
BaseRepresentation
bin1011000111000101…
…11011000000101100
3120101201022202121220
411203202323000230
544204024110114
62423524023340
7300551140542
oct54342730054
916351282556
105965066284
112591140651
1211a5831b50
13740a87228
14408317d92
1524da370a9
hex1638bb02c

5965066284 has 96 divisors (see below), whose sum is σ = 15434012160. Its totient is φ = 1783507968.

The previous prime is 5965066229. The next prime is 5965066361. The reversal of 5965066284 is 4826605695.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1372587 + ... + 1376925.

It is an arithmetic number, because the mean of its divisors is an integer number (160770960).

Almost surely, 25965066284 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 5965066284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717006080).

5965066284 is an abundant number, since it is smaller than the sum of its proper divisors (9468945876).

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

5965066284 is a wasteful number, since it uses less digits than its factorization.

5965066284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 5965066284 is about 77233.8415722020. The cubic root of 5965066284 is about 1813.5871277228.

The spelling of 5965066284 in words is "five billion, nine hundred sixty-five million, sixty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 293 391 586 782 879 1172 1173 1564 1758 2346 3516 4339 4692 4981 6739 8678 9962 13017 13478 14943 17356 19924 20217 26034 26956 29886 40434 52068 59772 73763 80868 99797 114563 147526 199594 221289 229126 295052 299391 343689 399188 442578 458252 598782 687378 885156 1197564 1271327 1374756 1696549 2542654 3393098 3813981 5085308 5089647 6786196 7627962 10179294 15255924 20358588 21612559 29240521 43225118 58481042 64837677 86450236 87721563 116962084 129675354 175443126 259350708 350886252 497088857 994177714 1491266571 1988355428 2982533142 5965066284