Search a number
-
+
65395979064 = 23321327876829
BaseRepresentation
bin111100111001111001…
…110111001100111000
320020210120001221110200
4330321321313030320
52032412332312224
650013102442200
74503400436043
oct747171671470
9206716057420
1065395979064
1125809363a99
1210810b93360
136222650100
14324538dc5a
151a7b3265c9
hexf39e77338

65395979064 has 144 divisors (see below), whose sum is σ = 192058097400. Its totient is φ = 20093329152.

The previous prime is 65395979053. The next prime is 65395979087. The reversal of 65395979064 is 46097959356.

65395979064 is a `hidden beast` number, since 6 + 5 + 39 + 597 + 9 + 0 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 65395978992 and 65395979010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9572802 + ... + 9579630.

Almost surely, 265395979064 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 65395979064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96029048700).

65395979064 is an abundant number, since it is smaller than the sum of its proper divisors (126662118336).

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

65395979064 is a wasteful number, since it uses less digits than its factorization.

65395979064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7634 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 65395979064 in words is "sixty-five billion, three hundred ninety-five million, nine hundred seventy-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 787 936 1014 1352 1521 1574 2028 2361 3042 3148 4056 4722 6084 6296 6829 7083 9444 10231 12168 13658 14166 18888 20462 20487 27316 28332 30693 40924 40974 54632 56664 61386 61461 81848 81948 88777 92079 122772 122922 133003 163896 177554 184158 245544 245844 266006 266331 355108 368316 399009 491688 532012 532662 710216 736632 798018 798993 1064024 1065324 1154101 1197027 1596036 1597986 2130648 2308202 2394054 3192072 3195972 3462303 4616404 4788108 5374423 6391944 6924606 9232808 9576216 10386909 10748846 13849212 16123269 20773818 21497692 27698424 32246538 41547636 42995384 48369807 64493076 69867499 83095272 96739614 128986152 139734998 193479228 209602497 279469996 386958456 419204994 558939992 628807491 838409988 908277487 1257614982 1676819976 1816554974 2515229964 2724832461 3633109948 5030459928 5449664922 7266219896 8174497383 10899329844 16348994766 21798659688 32697989532 65395979064