Search a number
-
+
9813358000640 = 2953833342969
BaseRepresentation
bin1000111011001101100110…
…1101111011101000000000
31021202010222210101022100102
42032303121231323220000
52241240224122010030
632512105555141532
72031664105463465
oct216633155735000
937663883338312
109813358000640
113143904837477
121125a898a48a8
1356251b435a4c
1425cd7d16766c
15120404589c45
hex8ecd9b7ba00

9813358000640 has 40 divisors (see below), whose sum is σ = 23529059149860. Its totient is φ = 3925343199232.

The previous prime is 9813358000627. The next prime is 9813358000651. The reversal of 9813358000640 is 460008533189.

9813358000640 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 2 ways, for example, as 9763275141376 + 50082859264 = 3124624^2 + 223792^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1916668925 + ... + 1916674044.

Almost surely, 29813358000640 is an apocalyptic number.

It is an amenable number.

9813358000640 is an abundant number, since it is smaller than the sum of its proper divisors (13715701149220).

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

9813358000640 is an equidigital number, since it uses as much as digits as its factorization.

9813358000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833342992 (or 3833342976 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 9813358000640 in words is "nine trillion, eight hundred thirteen billion, three hundred fifty-eight million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 3833342969 7666685938 15333371876 19166714845 30666743752 38333429690 61333487504 76666859380 122666975008 153333718760 245333950016 306667437520 490667900032 613334875040 981335800064 1226669750080 1962671600128 2453339500160 4906679000320 9813358000640