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90273958752 = 2534122935457
BaseRepresentation
bin101010000010010111…
…1110100101101100000
322122000100101020212210
41110010233310231200
52434340113140002
6105245444122120
76344033663055
oct1240457645540
9278010336783
1090273958752
113531532938a
12155b4696340
138688802c53
14452545302c
15253544496c
hex1504bf4b60

90273958752 has 48 divisors (see below), whose sum is σ = 242748887472. Its totient is φ = 29357383680.

The previous prime is 90273958681. The next prime is 90273958777. The reversal of 90273958752 is 25785937209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 90273958692 and 90273958701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11463793 + ... + 11471664.

It is an arithmetic number, because the mean of its divisors is an integer number (5057268489).

Almost surely, 290273958752 is an apocalyptic number.

It is an amenable number.

90273958752 is an abundant number, since it is smaller than the sum of its proper divisors (152474928720).

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

90273958752 is a wasteful number, since it uses less digits than its factorization.

90273958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22935511 (or 22935503 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 90273958752 in words is "ninety billion, two hundred seventy-three million, nine hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 22935457 45870914 68806371 91741828 137612742 183483656 275225484 366967312 550450968 733934624 940353737 1100901936 1880707474 2201803872 2821061211 3761414948 5642122422 7522829896 11284244844 15045659792 22568489688 30091319584 45136979376 90273958752