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90622374912 = 210361737193
BaseRepresentation
bin101010001100110000…
…0111011010000000000
322122220121222122000000
41110121200323100000
52441043311444122
6105344212000000
76355464322446
oct1243140732000
9278817878000
1090622374912
1135483a71623
1215691300000
138712a53264
14455982ab96
152555d190ac
hex151983b400

90622374912 has 616 divisors, whose sum is σ = 296890182216. Its totient is φ = 27518828544.

The previous prime is 90622374841. The next prime is 90622374917. The reversal of 90622374912 is 21947322609.

90622374912 is a `hidden beast` number, since 9 + 0 + 622 + 3 + 7 + 4 + 9 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31678304256 + 58944070656 = 177984^2 + 242784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90622374917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 469545888 + ... + 469546080.

Almost surely, 290622374912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90622374912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148445091108).

90622374912 is an abundant number, since it is smaller than the sum of its proper divisors (206267807304).

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

90622374912 is a wasteful number, since it uses less digits than its factorization.

90622374912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90622374912 in words is "ninety billion, six hundred twenty-two million, three hundred seventy-four thousand, nine hundred twelve".