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90009901000 = 235390009901
BaseRepresentation
bin101001111010100000…
…0100001011111001000
322121022221111201202001
41103311000201133020
52433320013313000
6105203332320344
76334346351305
oct1236500413710
9277287451661
1090009901000
113519a273938
12155401730b4
138645baaa66
1444dc3580ac
15251c18546a
hex14f50217c8

90009901000 has 32 divisors (see below), whose sum is σ = 210623170680. Its totient is φ = 36003960000.

The previous prime is 90009900949. The next prime is 90009901013. The reversal of 90009901000 is 10990009.

It can be written as a sum of positive squares in 4 ways, for example, as 9593418916 + 80416482084 = 97946^2 + 283578^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90009901000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45003951 + ... + 45005950.

Almost surely, 290009901000 is an apocalyptic number.

It is an amenable number.

90009901000 is an abundant number, since it is smaller than the sum of its proper divisors (120613269680).

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

90009901000 is a wasteful number, since it uses less digits than its factorization.

90009901000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90009922 (or 90009908 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The spelling of 90009901000 in words is "ninety billion, nine million, nine hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 90009901 180019802 360039604 450049505 720079208 900099010 1800198020 2250247525 3600396040 4500495050 9000990100 11251237625 18001980200 22502475250 45004950500 90009901000