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90350011207521 = 32136793712300647
BaseRepresentation
bin10100100010110001000000…
…010100101100111101100001
3102211220101011121220212122200
4110202301000110230331201
543320243310332120041
6520054115552323413
725013400334612122
oct2442610024547541
9384811147825580
1090350011207521
11268742519a791a
12a17252bb43569
133b54c7acb1410
141844d6cc32049
15a6a3278961b6
hex522c4052cf61

90350011207521 has 48 divisors (see below), whose sum is σ = 142794384829824. Its totient is φ = 54711698925312.

The previous prime is 90350011207513. The next prime is 90350011207529. The reversal of 90350011207521 is 12570211005309.

90350011207521 is a `hidden beast` number, since 9 + 0 + 3 + 5 + 0 + 0 + 1 + 120 + 7 + 521 = 666.

It is an interprime number because it is at equal distance from previous prime (90350011207513) and next prime (90350011207529).

It is not a de Polignac number, because 90350011207521 - 23 = 90350011207513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90350011207529) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1194820 + ... + 13495466.

It is an arithmetic number, because the mean of its divisors is an integer number (2974883017288).

Almost surely, 290350011207521 is an apocalyptic number.

It is an amenable number.

90350011207521 is a deficient number, since it is larger than the sum of its proper divisors (52444373622303).

90350011207521 is a wasteful number, since it uses less digits than its factorization.

90350011207521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12301670 (or 12301667 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 90350011207521 in words is "ninety trillion, three hundred fifty billion, eleven million, two hundred seven thousand, five hundred twenty-one".

Divisors: 1 3 9 13 39 67 117 201 603 871 937 2613 2811 7839 8433 12181 36543 62779 109629 188337 565011 816127 2448381 7345143 12300647 36901941 110705823 159908411 479725233 824143349 1439175699 2472430047 7417290141 10713863537 11525706239 32141590611 34577118717 96424771833 103731356151 149834181107 449502543321 772222318013 1348507629963 2316666954039 6950000862117 10038890134169 30116670402507 90350011207521