Search a number
-
+
5108717264 = 247219477297
BaseRepresentation
bin1001100001000000…
…01101011011010000
3111012000221201121112
410300200031123100
540430312423024
62202533312452
7240412244300
oct46040153320
914160851545
105108717264
112191812992
12ba6a95728
13635535131
143666c1600
151ed77e00e
hex13080d6d0

5108717264 has 120 divisors (see below), whose sum is σ = 12379743360. Its totient is φ = 2029805568.

The previous prime is 5108717249. The next prime is 5108717267. The reversal of 5108717264 is 4627178015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5108717267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696464 + ... + 703760.

It is an arithmetic number, because the mean of its divisors is an integer number (103164528).

Almost surely, 25108717264 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 5108717264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189871680).

5108717264 is an abundant number, since it is smaller than the sum of its proper divisors (7271026096).

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

5108717264 is a wasteful number, since it uses less digits than its factorization.

5108717264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7385 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 5108717264 is about 71475.2912830721. The cubic root of 5108717264 is about 1722.2807835263.

The spelling of 5108717264 in words is "five billion, one hundred eight million, seven hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 47 49 56 76 94 98 112 133 152 188 196 266 304 329 376 392 532 658 752 784 893 931 1064 1316 1786 1862 2128 2303 2632 3572 3724 4606 5264 6251 7144 7297 7448 9212 12502 14288 14594 14896 18424 25004 29188 36848 43757 50008 51079 58376 87514 100016 102158 116752 138643 175028 204316 277286 342959 350056 357553 408632 554572 685918 700112 715106 817264 970501 1109144 1371836 1430212 1941002 2218288 2400713 2743672 2860424 3882004 4801426 5487344 5720848 6516221 6793507 7764008 9602852 13032442 13587014 15528016 16804991 19205704 26064884 27174028 33609982 38411408 45613547 52129768 54348056 67219964 91227094 104259536 108696112 134439928 182454188 268879856 319294829 364908376 638589658 729816752 1277179316 2554358632 5108717264