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990229757472 = 253219123072
BaseRepresentation
bin11100110100011100100…
…10101111111000100000
310111122221210222200100200
432122032102233320200
5112210442304214342
62034523312145200
7131353550026644
oct16321622577040
93448853880320
10990229757472
11351a5497909a
1213bab5b38200
13724bc084147
1435cdaa10c24
151ab58b3e94c
hexe68e4afe20

990229757472 has 162 divisors, whose sum is σ = 2840037177159. Its totient is φ = 327278897280.

The previous prime is 990229757467. The next prime is 990229757479. The reversal of 990229757472 is 274757922099.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

990229757472 is a `hidden beast` number, since 9 + 9 + 0 + 22 + 97 + 57 + 472 = 666.

990229757472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 495114878736 + 495114878736 = 703644^2 + 703644^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=703644.

It is not an unprimeable number, because it can be changed into a prime (990229757479) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3225503943 + ... + 3225504249.

Almost surely, 2990229757472 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 990229757472

990229757472 is an abundant number, since it is smaller than the sum of its proper divisors (1849807419687).

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

990229757472 is an equidigital number, since it uses as much as digits as its factorization.

990229757472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 990229757472 in words is "nine hundred ninety billion, two hundred twenty-nine million, seven hundred fifty-seven thousand, four hundred seventy-two".