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5164041348 = 2232416779661
BaseRepresentation
bin1001100111100110…
…10000010010000100
3111022220001110222200
410303303100102010
541033443310343
62212231154500
7241653425064
oct46363202204
914286043880
105164041348
11220aa6a774
121001515a30
13643b3598b
1436dba33a4
1520355b4d3
hex133cd0484

5164041348 has 144 divisors (see below), whose sum is σ = 13764092160. Its totient is φ = 1630886400.

The previous prime is 5164041263. The next prime is 5164041359. The reversal of 5164041348 is 8431404615.

5164041348 is a `hidden beast` number, since 5 + 1 + 640 + 4 + 1 + 3 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7812138 + ... + 7812798.

Almost surely, 25164041348 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 5164041348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882046080).

5164041348 is an abundant number, since it is smaller than the sum of its proper divisors (8600050812).

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

5164041348 is a wasteful number, since it uses less digits than its factorization.

5164041348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5164041348 is about 71861.2645867021. The cubic root of 5164041348 is about 1728.4755354365.

The spelling of 5164041348 in words is "five billion, one hundred sixty-four million, forty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 67 79 82 123 134 158 164 201 237 246 268 316 369 402 474 492 603 661 711 738 804 948 1206 1322 1422 1476 1983 2412 2644 2747 2844 3239 3966 5293 5494 5949 6478 7932 8241 9717 10586 10988 11898 12956 15879 16482 19434 21172 23796 24723 27101 29151 31758 32964 38868 44287 47637 49446 52219 54202 58302 63516 81303 88574 95274 98892 104438 108404 116604 132861 156657 162606 177148 190548 208876 217013 243909 265722 313314 325212 398583 434026 469971 487818 531444 626628 651039 797166 868052 939942 975636 1302078 1594332 1815767 1879884 1953117 2140979 2604156 3498673 3631534 3906234 4281958 5447301 6422937 6997346 7263068 7812468 8563916 10496019 10894602 12845874 13994692 16341903 19268811 20992038 21789204 25691748 31488057 32683806 38537622 41984076 62976114 65367612 77075244 125952228 143445593 286891186 430336779 573782372 860673558 1291010337 1721347116 2582020674 5164041348