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90452634276240 = 243251710696912929
BaseRepresentation
bin10100100100010000100101…
…001000101001000110010000
3102212021012001121022220201200
4110210100211020221012100
543323433443333314430
6520213211101031200
725023662412401235
oct2444204510510620
9385235047286650
1090452634276240
1126903823a54305
12a18a3b0255500
133b6185407cc12
141849d063bb78c
15a6cd3201b460
hex524425229190

90452634276240 has 240 divisors, whose sum is σ = 321939850892400. Its totient is φ = 22680597823488.

The previous prime is 90452634276229. The next prime is 90452634276241. The reversal of 90452634276240 is 4267243625409.

90452634276240 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 2 + 6 + 3 + 4 + 2 + 7 + 624 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 680268646656 + 89772365629584 = 824784^2 + 9474828^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×904526342762402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90452634276241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9628096 + ... + 16541024.

It is an arithmetic number, because the mean of its divisors is an integer number (1341416045385).

Almost surely, 290452634276240 is an apocalyptic number.

90452634276240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90452634276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160969925446200).

90452634276240 is an abundant number, since it is smaller than the sum of its proper divisors (231487216616160).

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

90452634276240 is a wasteful number, since it uses less digits than its factorization.

90452634276240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914034 (or 6914025 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 90452634276240 in words is "ninety trillion, four hundred fifty-two billion, six hundred thirty-four million, two hundred seventy-six thousand, two hundred forty".