Search a number
-
+
96526026445312 = 292933719290637
BaseRepresentation
bin10101111100101000110111…
…100001001001001000000000
3110122202210112202011221200001
4111330220313201021020000
5100122440300232222222
6541143235553005344
726221526630143012
oct2574506741111000
9418683482157601
1096526026445312
1128835504555642
12a9ab482b53854
1341b249956a999
1419b9c555121b2
15b25ce42c1e27
hex57ca37849200

96526026445312 has 80 divisors (see below), whose sum is σ = 200106031914360. Its totient is φ = 46460493692928.

The previous prime is 96526026445301. The next prime is 96526026445337. The reversal of 96526026445312 is 21354462062569.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82739835668736 + 13786190776576 = 9096144^2 + 3712976^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4641543 + ... + 14649094.

Almost surely, 296526026445312 is an apocalyptic number.

It is an amenable number.

96526026445312 is an abundant number, since it is smaller than the sum of its proper divisors (103580005469048).

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

96526026445312 is a wasteful number, since it uses less digits than its factorization.

96526026445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19291021 (or 19291005 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 96526026445312 in words is "ninety-six trillion, five hundred twenty-six billion, twenty-six million, four hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 337 464 512 674 928 1348 1856 2696 3712 5392 7424 9773 10784 14848 19546 21568 39092 43136 78184 86272 156368 172544 312736 625472 1250944 2501888 5003776 19290637 38581274 77162548 154325096 308650192 559428473 617300384 1118856946 1234600768 2237713892 2469201536 4475427784 4938403072 6500944669 8950855568 9876806144 13001889338 17901711136 26003778676 35803422272 52007557352 71606844544 104015114704 143213689088 188527395401 208030229408 286427378176 377054790802 416060458816 754109581604 832120917632 1508219163208 1664241835264 3016438326416 3328483670528 6032876652832 12065753305664 24131506611328 48263013222656 96526026445312