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90546548204025 = 32526343732
BaseRepresentation
bin10100100101101000000010…
…110101110110000111111001
3102212121011110121221202102100
4110211220002311312013321
543332003312320012100
6520324302054254013
725033525605535044
oct2445500265660771
9385534417852370
1090546548204025
112693a636a10261
12a1a463b957309
133b6a66ca186a4
141850695025c5b
15a704cbcba400
hex525a02d761f9

90546548204025 has 27 divisors (see below), whose sum is σ = 162179184213709. Its totient is φ = 48291416250720.

The previous prime is 90546548204023. The next prime is 90546548204039. The reversal of 90546548204025 is 52040284564509.

The square root of 90546548204025 is 9515595.

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

90546548204025 is a `hidden beast` number, since 9 + 0 + 54 + 6 + 548 + 2 + 0 + 40 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1623307876281 + 88923240327744 = 1274091^2 + 9429912^2 .

It is not a de Polignac number, because 90546548204025 - 21 = 90546548204023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90546548204023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 142416739 + ... + 143051111.

Almost surely, 290546548204025 is an apocalyptic number.

90546548204025 is the 9515595-th square number.

90546548204025 is the 4757798-th centered octagonal number.

It is an amenable number.

90546548204025 is a deficient number, since it is larger than the sum of its proper divisors (71632636009684).

90546548204025 is an frugal number, since it uses more digits than its factorization.

90546548204025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268762 (or 634381 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 90546548204025 in words is "ninety trillion, five hundred forty-six billion, five hundred forty-eight million, two hundred four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 634373 1903119 3171865 5709357 9515595 15859325 28546785 47577975 142733925 402429103129 1207287309387 2012145515645 3621861928161 6036436546935 10060727578225 18109309640805 30182182734675 90546548204025