Search a number
-
+
5076621165 = 3571153127653
BaseRepresentation
bin1001011101001011…
…10001011101101101
3111002210120002001010
410232211301131231
540344103334130
62155425335433
7236542365540
oct45645613555
914083502033
105076621165
112175690690
12b98197579
1362b9a8065
14362328857
151eaa3e0b0
hex12e97176d

5076621165 has 128 divisors (see below), whose sum is σ = 10415112192. Its totient is φ = 2050513920.

The previous prime is 5076621161. The next prime is 5076621169. The reversal of 5076621165 is 5611266705.

It is an interprime number because it is at equal distance from previous prime (5076621161) and next prime (5076621169).

It is not a de Polignac number, because 5076621165 - 22 = 5076621161 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076621161) 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 127 ways as a sum of consecutive naturals, for example, 7773979 + ... + 7774631.

It is an arithmetic number, because the mean of its divisors is an integer number (81368064).

Almost surely, 25076621165 is an apocalyptic number.

5076621165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5076621165 is an abundant number, since it is smaller than the sum of its proper divisors (5338491027).

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

5076621165 is a wasteful number, since it uses less digits than its factorization.

5076621165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 5076621165 is about 71250.4116830212. The cubic root of 5076621165 is about 1718.6663951575. Note that the first 3 decimals are identical.

The spelling of 5076621165 in words is "five billion, seventy-six million, six hundred twenty-one thousand, one hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 53 55 77 105 127 159 165 231 265 371 381 385 583 635 653 795 889 1113 1155 1397 1749 1855 1905 1959 2667 2915 3265 4081 4191 4445 4571 5565 6731 6985 7183 8745 9779 9795 12243 13335 13713 20193 20405 20955 21549 22855 29337 33655 34609 35915 47117 48895 50281 61215 68565 74041 82931 100965 103827 107745 141351 146685 150843 173045 222123 235585 242263 248793 251405 370205 380699 414655 518287 519135 580517 706755 726789 754215 912241 1110615 1142097 1211315 1243965 1554861 1741551 1903495 2591435 2664893 2736723 2902585 3633945 4395343 4561205 5710485 6385687 7774305 7994679 8707755 13186029 13324465 13683615 19157061 21976715 30767401 31928435 39973395 48348773 65930145 92302203 95785305 145046319 153837005 241743865 338441411 461511015 725231595 1015324233 1692207055 5076621165