Search a number
-
+
5096718864 = 24321714271459
BaseRepresentation
bin1001011111100100…
…11100001000010000
3111011012101010220100
410233302130020100
540414230000424
62201424212400
7240205252446
oct45762341020
914135333810
105096718864
112185a68356
12ba2a6a100
13632bc3aa3
14364c7ab96
151ec6addc9
hex12fc9c210

5096718864 has 120 divisors (see below), whose sum is σ = 15123719520. Its totient is φ = 1596754944.

The previous prime is 5096718857. The next prime is 5096718889. The reversal of 5096718864 is 4688176905.

5096718864 is a `hidden beast` number, since 509 + 6 + 71 + 8 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5096718864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3492567 + ... + 3494025.

It is an arithmetic number, because the mean of its divisors is an integer number (126030996).

Almost surely, 25096718864 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 5096718864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561859760).

5096718864 is an abundant number, since it is smaller than the sum of its proper divisors (10027000656).

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

5096718864 is a wasteful number, since it uses less digits than its factorization.

5096718864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 5096718864 is about 71391.3080423661. The cubic root of 5096718864 is about 1720.9314028792.

The spelling of 5096718864 in words is "five billion, ninety-six million, seven hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1427 1459 2448 2854 2918 4281 4377 5708 5836 8562 8754 11416 11672 12843 13131 17124 17508 22832 23344 24259 24803 25686 26262 34248 35016 48518 49606 51372 52524 68496 70032 72777 74409 97036 99212 102744 105048 145554 148818 194072 198424 205488 210096 218331 223227 291108 297636 388144 396848 436662 446454 582216 595272 873324 892908 1164432 1190544 1746648 1785816 2081993 3493296 3571632 4163986 6245979 8327972 12491958 16655944 18737937 24983916 33311888 35393881 37475874 49967832 70787762 74951748 99935664 106181643 141575524 149903496 212363286 283151048 299806992 318544929 424726572 566302096 637089858 849453144 1274179716 1698906288 2548359432 5096718864