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90046806084 = 223655572
BaseRepresentation
bin101001111011100110…
…1010011100001000100
322121102111221201000000
41103313031103201010
52433403440243314
6105211131321300
76335305136304
oct1236715234104
9277374851000
1090046806084
1135209090204
12155505b0230
13865072c9a1
144503203604
152520525209
hex14f7353844

90046806084 has 63 divisors (see below), whose sum is σ = 236307309357. Its totient is φ = 30010200624.

The previous prime is 90046806071. The next prime is 90046806103. The reversal of 90046806084 is 48060864009.

It is a happy number.

The square root of 90046806084 is 300078.

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., 84873168900 + 5173637184 = 291330^2 + 71928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 16201434 + ... + 16206990.

Almost surely, 290046806084 is an apocalyptic number.

90046806084 is the 300078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90046806084

90046806084 is an abundant number, since it is smaller than the sum of its proper divisors (146260503273).

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

90046806084 is an frugal number, since it uses more digits than its factorization.

90046806084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11136 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90046806084 in words is "ninety billion, forty-six million, eight hundred six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5557 11114 16671 22228 33342 50013 66684 100026 150039 200052 300078 450117 600156 900234 1350351 1800468 2700702 4051053 5401404 8102106 16204212 30880249 61760498 92640747 123520996 185281494 277922241 370562988 555844482 833766723 1111688964 1667533446 2501300169 3335066892 5002600338 7503900507 10005200676 15007801014 22511701521 30015602028 45023403042 90046806084