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95253711424 = 2617322232
BaseRepresentation
bin101100010110110010…
…0000100101001000000
3100002212101122220022221
41120231210010221000
53030034422231144
6111431533340424
76611322121324
oct1305544045100
9302771586287
1095253711424
1137440267263
1216564337714
138ca03c2971
144878963984
1527276ebd84
hex162d904a40

95253711424 has 63 divisors (see below), whose sum is σ = 190974365193. Its totient is φ = 47139217152.

The previous prime is 95253711409. The next prime is 95253711437. The reversal of 95253711424 is 42411735259.

The square root of 95253711424 is 308632.

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

It can be written as a sum of positive squares in only one way, i.e., 86647809600 + 8605901824 = 294360^2 + 92768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 427146577 + ... + 427146799.

Almost surely, 295253711424 is an apocalyptic number.

95253711424 is the 308632-nd square number.

It is an amenable number.

95253711424 is an abundant number, since it is smaller than the sum of its proper divisors (95720653769).

95253711424 is an frugal number, since it uses more digits than its factorization.

95253711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The spelling of 95253711424 in words is "ninety-five billion, two hundred fifty-three million, seven hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 173 223 346 446 692 892 1384 1784 2768 3568 5536 7136 11072 14272 29929 38579 49729 59858 77158 99458 119716 154316 198916 239432 308632 397832 478864 617264 795664 957728 1234528 1591328 1915456 2469056 3182656 6674167 8603117 13348334 17206234 26696668 34412468 53393336 68824936 106786672 137649872 213573344 275299744 427146688 550599488 1488339241 2976678482 5953356964 11906713928 23813427856 47626855712 95253711424