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90729657255650 = 2527416322624199
BaseRepresentation
bin10100101000010010100100…
…111111011100011011100010
3102220020200002210221100201012
4110220102210333130123202
543343003314224140100
6520544343520540522
725053000326022440
oct2450224477343342
9386220083840635
1090729657255650
1126a00260226996
12a214022781742
133b81a01806c4a
1418594a5ad3b90
15a75147409135
hex5284a4fdc6e2

90729657255650 has 48 divisors (see below), whose sum is σ = 197569361001600. Its totient is φ = 30348596150400.

The previous prime is 90729657255631. The next prime is 90729657255667. The reversal of 90729657255650 is 5655275692709.

It is a happy number.

It is a Smith number, since the sum of its digits (68) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 3161297750 + ... + 3161326449.

It is an arithmetic number, because the mean of its divisors is an integer number (4116028354200).

Almost surely, 290729657255650 is an apocalyptic number.

90729657255650 is an abundant number, since it is smaller than the sum of its proper divisors (106839703745950).

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

90729657255650 is a wasteful number, since it uses less digits than its factorization.

90729657255650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322624259 (or 6322624254 counting only the distinct ones).

The product of its (nonzero) digits is 357210000, while the sum is 68.

The spelling of 90729657255650 in words is "ninety trillion, seven hundred twenty-nine billion, six hundred fifty-seven million, two hundred fifty-five thousand, six hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 41 50 70 82 175 205 287 350 410 574 1025 1435 2050 2870 7175 14350 6322624199 12645248398 31613120995 44258369393 63226241990 88516738786 158065604975 221291846965 259227592159 316131209950 442583693930 518455184318 1106459234825 1296137960795 1814593145113 2212918469650 2592275921590 3629186290226 6480689803975 9072965725565 12961379607950 18145931451130 45364828627825 90729657255650