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90399721536 = 2632156943961
BaseRepresentation
bin101010000110000111…
…1100100100001000000
322122100010000122222200
41110030033210201000
52440114312042121
6105310135433200
76350121645315
oct1241417444100
9278303018880
1090399721536
113537a316873
121562a825800
1386a8896bb7
14453802cd0c
1525414d7a26
hex150c3e4840

90399721536 has 42 divisors (see below), whose sum is σ = 259114481262. Its totient is φ = 30133240320.

The previous prime is 90399721523. The next prime is 90399721541. The reversal of 90399721536 is 63512799309.

It is a happy number.

90399721536 is a `hidden beast` number, since 9 + 0 + 39 + 9 + 72 + 1 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71481369600 + 18918351936 = 267360^2 + 137544^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 78471405 + ... + 78472556.

It is an arithmetic number, because the mean of its divisors is an integer number (6169392411).

Almost surely, 290399721536 is an apocalyptic number.

90399721536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90399721536 is an abundant number, since it is smaller than the sum of its proper divisors (168714759726).

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

90399721536 is a wasteful number, since it uses less digits than its factorization.

90399721536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156943979 (or 156943966 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 90399721536 in words is "ninety billion, three hundred ninety-nine million, seven hundred twenty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 156943961 313887922 470831883 627775844 941663766 1255551688 1412495649 1883327532 2511103376 2824991298 3766655064 5022206752 5649982596 7533310128 10044413504 11299965192 15066620256 22599930384 30133240512 45199860768 90399721536