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5166191472 = 24313173671327
BaseRepresentation
bin1001100111110110…
…11101001101110000
3111100001002201101220
410303323131031300
541040021111342
62212345225040
7242010621501
oct46373351560
914301081356
105166191472
1122111a9132
121002192180
13644409540
143701a2ba8
152038335ec
hex133edd370

5166191472 has 160 divisors (see below), whose sum is σ = 15271022592. Its totient is φ = 1490890752.

The previous prime is 5166191467. The next prime is 5166191477. The reversal of 5166191472 is 2741916615.

It is an interprime number because it is at equal distance from previous prime (5166191467) and next prime (5166191477).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5166191477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3892473 + ... + 3893799.

Almost surely, 25166191472 is an apocalyptic number.

5166191472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166191472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635511296).

5166191472 is an abundant number, since it is smaller than the sum of its proper divisors (10104831120).

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

5166191472 is a wasteful number, since it uses less digits than its factorization.

5166191472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 5166191472 is about 71876.2232730685. The cubic root of 5166191472 is about 1728.7153941571.

The spelling of 5166191472 in words is "five billion, one hundred sixty-six million, one hundred ninety-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 312 367 408 442 624 663 734 816 884 1101 1326 1327 1468 1768 2202 2652 2654 2936 3536 3981 4404 4771 5304 5308 5872 6239 7962 8808 9542 10608 10616 12478 14313 15924 17251 17616 18717 19084 21232 22559 24956 28626 31848 34502 37434 38168 45118 49912 51753 57252 63696 67677 69004 74868 76336 81107 90236 99824 103506 114504 135354 138008 149736 162214 180472 207012 229008 243321 270708 276016 293267 299472 324428 360944 414024 486642 487009 541416 586534 648856 828048 879801 973284 974018 1082832 1173068 1297712 1461027 1759602 1946568 1948036 2346136 2922054 3519204 3893136 3896072 4692272 5844108 6331117 7038408 7792144 8279153 11688216 12662234 14076816 16558306 18993351 23376432 24837459 25324468 33116612 37986702 49674918 50648936 66233224 75973404 99349836 101297872 107628989 132466448 151946808 198699672 215257978 303893616 322886967 397399344 430515956 645773934 861031912 1291547868 1722063824 2583095736 5166191472