Search a number
-
+
5130252180036 = 2232227216632
BaseRepresentation
bin100101010100111101011…
…0110111101101001000100
3200011110002002120110000100
41022221322312331221010
51133023224024230121
614524445540444100
71036435301011224
oct112517266755104
920143062513010
105130252180036
1116a8800679245
126aa33b0a9630
132b2a1c292849
1413a43c538084
158d6b279a026
hex4aa7adbda44

5130252180036 has 81 divisors (see below), whose sum is σ = 13033354732671. Its totient is φ = 1701526867344.

The previous prime is 5130252180013. The next prime is 5130252180059. The reversal of 5130252180036 is 6300812520315.

The square root of 5130252180036 is 2265006.

It is a perfect power (a square), and thus also a powerful number.

5130252180036 is a `hidden beast` number, since 51 + 3 + 0 + 2 + 521 + 80 + 0 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5130252180013) and next prime (5130252180059).

It is a super-2 number, since 2×51302521800362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3084937341 + ... + 3084939003.

Almost surely, 25130252180036 is an apocalyptic number.

5130252180036 is the 2265006-th square number.

It is an amenable number.

5130252180036 is an abundant number, since it is smaller than the sum of its proper divisors (7903102552635).

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

5130252180036 is an equidigital number, since it uses as much as digits as its factorization.

5130252180036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 5130252180036 by its sum of digits (36), we get a square (184689078481296 = 135900362).

5130252180036 divided by its sum of digits (36) gives a square (142507005001 = 3775012).

The spelling of 5130252180036 in words is "five trillion, one hundred thirty billion, two hundred fifty-two million, one hundred eighty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 908 1362 1663 2043 2724 3326 4086 4989 6652 8172 9978 14967 19956 29934 51529 59868 103058 154587 206116 309174 377501 463761 618348 755002 927522 1132503 1510004 1855044 2265006 2765569 3397509 4530012 5531138 6795018 8296707 11062276 13590036 16593414 24890121 33186828 49780242 85692727 99560484 171385454 257078181 342770908 514156362 627784163 771234543 1028312724 1255568326 1542469086 1883352489 2511136652 3084938172 3766704978 5650057467 7533409956 11300114934 22600229868 142507005001 285014010002 427521015003 570028020004 855042030006 1282563045009 1710084060012 2565126090018 5130252180036