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71999043300625 = 5472484872
BaseRepresentation
bin10000010111101110010101…
…011001100110110100010001
3100102221001010010021020221111
4100113232111121212310101
533414113020041110000
6413043523123053321
721110521261233100
oct2027562531466421
9312831103236844
1071999043300625
1120a39693a28571
1280a9a91b11241
133123632cb1b6c
1413acab523a037
1584ccd89e6cba
hex417b95666d11

71999043300625 has 45 divisors (see below), whose sum is σ = 104661143376669. Its totient is φ = 49369754322000.

The previous prime is 71999043300607. The next prime is 71999043300643. The reversal of 71999043300625 is 52600334099917.

It is a happy number.

The square root of 71999043300625 is 8485225.

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

It is an interprime number because it is at equal distance from previous prime (71999043300607) and next prime (71999043300643).

It can be written as a sum of positive squares in 2 ways, for example, as 5644724994769 + 66354318305856 = 2375863^2 + 8145816^2 .

It is not a de Polignac number, because 71999043300625 - 225 = 71999009746193 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71999043300625.

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 44 ways as a sum of consecutive naturals, for example, 1484890132 + ... + 1484938618.

Almost surely, 271999043300625 is an apocalyptic number.

71999043300625 is the 8485225-th square number.

71999043300625 is the 4242613-rd centered octagonal number.

It is an amenable number.

71999043300625 is a deficient number, since it is larger than the sum of its proper divisors (32662100076044).

71999043300625 is an frugal number, since it uses more digits than its factorization.

71999043300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97008 (or 48499 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 58.

The spelling of 71999043300625 in words is "seventy-one trillion, nine hundred ninety-nine billion, forty-three million, three hundred thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 4375 6125 30625 48487 242435 339409 1212175 1697045 2375863 6060875 8485225 11879315 30304375 42426125 59396575 212130625 296982875 1484914375 2350989169 11754945845 16456924183 58774729225 82284620915 115198469281 293873646125 411423104575 575992346405 1469368230625 2057115522875 2879961732025 10285577614375 14399808660125 71999043300625