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90812263500000 = 253256723711131
BaseRepresentation
bin10100101001011111100000…
…101101010000100011100000
3102220112120022210011100211200
4110221133200231100203200
543400332003424000000
6521050324455241200
725061653355353200
oct2451374055204340
9386476283140750
1090812263500000
1126a322a0302a19
12a228037379200
133b89737889c83
14185d4a0a58400
15a7737e5dd500
hex5297e0b508e0

90812263500000 has 1512 divisors, whose sum is σ = 385691467929768. Its totient is φ = 20194272000000.

The previous prime is 90812263499989. The next prime is 90812263500011. The reversal of 90812263500000 is 536221809.

90812263500000 is a `hidden beast` number, since 9 + 0 + 8 + 12 + 2 + 635 + 0 + 0 + 0 + 0 + 0 = 666.

90812263500000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (90812263499989) and next prime (90812263500011).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 8158494435 + ... + 8158505565.

It is an arithmetic number, because the mean of its divisors is an integer number (255086949689).

Almost surely, 290812263500000 is an apocalyptic number.

90812263500000 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 90812263500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192845733964884).

90812263500000 is an abundant number, since it is smaller than the sum of its proper divisors (294879204429768).

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

90812263500000 is a wasteful number, since it uses less digits than its factorization.

90812263500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11228 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 90812263500000 its reverse (536221809), we get a palindrome (90812799721809).

The spelling of 90812263500000 in words is "ninety trillion, eight hundred twelve billion, two hundred sixty-three million, five hundred thousand".