Search a number
-
+
5164671096 = 23321324191013
BaseRepresentation
bin1001100111101011…
…01010000001111000
3111022221020110211200
410303311222001320
541034123433341
62212252454200
7241661660064
oct46365520170
914287213750
105164671096
11221035a922
12100177a360
13643cc6500
1436dcc8aa4
15203632db6
hex133d6a078

5164671096 has 144 divisors (see below), whose sum is σ = 15197527800. Its totient is φ = 1583771904.

The previous prime is 5164671053. The next prime is 5164671097. The reversal of 5164671096 is 6901764615.

5164671096 is a `hidden beast` number, since 516 + 46 + 7 + 1 + 0 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164671097) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5097886 + ... + 5098898.

Almost surely, 25164671096 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 5164671096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598763900).

5164671096 is an abundant number, since it is smaller than the sum of its proper divisors (10032856704).

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

5164671096 is a wasteful number, since it uses less digits than its factorization.

5164671096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5164671096 is about 71865.6461461246. The cubic root of 5164671096 is about 1728.5457943476.

The spelling of 5164671096 in words is "five billion, one hundred sixty-four million, six hundred seventy-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 419 468 507 676 838 936 1013 1014 1257 1352 1521 1676 2026 2028 2514 3039 3042 3352 3771 4052 4056 5028 5447 6078 6084 7542 8104 9117 10056 10894 12156 12168 13169 15084 16341 18234 21788 24312 26338 30168 32682 36468 39507 43576 49023 52676 65364 70811 72936 79014 98046 105352 118521 130728 141622 158028 171197 196092 212433 237042 283244 316056 342394 392184 424447 424866 474084 513591 566488 637299 684788 848894 849732 948168 1027182 1273341 1274598 1369576 1540773 1697788 1699464 2054364 2546682 2549196 3081546 3395576 3820023 4108728 5093364 5098392 5517811 6163092 7640046 10186728 11035622 12326184 15280092 16553433 22071244 30560184 33106866 44142488 49660299 66213732 71731543 99320598 132427464 143463086 198641196 215194629 286926172 397282392 430389258 573852344 645583887 860778516 1291167774 1721557032 2582335548 5164671096