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95286429225 = 325213215832
BaseRepresentation
bin101100010111110000…
…0111000011000101001
3100002221200020010201100
41120233200320120221
53030121311213400
6111435102512013
76612200166441
oct1305740703051
9302850203640
1095286429225
1137457783669
1216573295609
138ca7109a00
14487d03d121
15272a511100
hex162f838629

95286429225 has 81 divisors (see below), whose sum is σ = 184923626277. Its totient is φ = 46880608320.

The previous prime is 95286429191. The next prime is 95286429229. The reversal of 95286429225 is 52292468259.

The square root of 95286429225 is 308685.

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

95286429225 is a `hidden beast` number, since 9 + 528 + 6 + 4 + 2 + 92 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24560218089 + 70726211136 = 156717^2 + 265944^2 .

It is not a de Polignac number, because 95286429225 - 27 = 95286429097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (95286429229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 60192784 + ... + 60194366.

Almost surely, 295286429225 is an apocalyptic number.

95286429225 is the 308685-th square number.

95286429225 is the 154343-rd centered octagonal number.

It is an amenable number.

95286429225 is a deficient number, since it is larger than the sum of its proper divisors (89637197052).

95286429225 is a wasteful number, since it uses less digits than its factorization.

95286429225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 1604 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 95286429225 in words is "ninety-five billion, two hundred eighty-six million, four hundred twenty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 1583 2535 2925 4225 4749 7605 7915 12675 14247 20579 23745 38025 39575 61737 71235 102895 118725 185211 267527 308685 356175 514475 802581 926055 1337635 1543425 2407743 2505889 4012905 4630275 6688175 7517667 12038715 12529445 20064525 22553001 32576557 37588335 60193575 62647225 97729671 112765005 162882785 187941675 293189013 423495241 488648355 563825025 814413925 1270485723 1465945065 2117476205 2443241775 3811457169 6352428615 7329725325 10587381025 19057285845 31762143075 95286429225