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1009115425948 = 227322133433347
BaseRepresentation
bin11101010111100111111…
…01110110110010011100
310120110200222201001010111
432223303331312302130
5113013132022112243
62051325313415404
7132622551410620
oct16536375666234
93513628631114
101009115425948
11359a66394373
121436a686a564
137420b930ac6
1436bacd07180
151b3b1b4339d
hexeaf3f76c9c

1009115425948 has 48 divisors (see below), whose sum is σ = 2020064707584. Its totient is φ = 432085308480.

The previous prime is 1009115425909. The next prime is 1009115425949. The reversal of 1009115425948 is 8495245119001.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009115425949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301496811 + ... + 301500157.

It is an arithmetic number, because the mean of its divisors is an integer number (42084681408).

Almost surely, 21009115425948 is an apocalyptic number.

It is an amenable number.

1009115425948 is an abundant number, since it is smaller than the sum of its proper divisors (1010949281636).

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

1009115425948 is a wasteful number, since it uses less digits than its factorization.

1009115425948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The spelling of 1009115425948 in words is "one trillion, nine billion, one hundred fifteen million, four hundred twenty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 3221 3343 3347 6442 6686 6694 12884 13372 13388 22547 23401 23429 45094 46802 46858 90188 93604 93716 10767803 10780687 11189021 21535606 21561374 22378042 43071212 43122748 44756084 75374621 75464809 78323147 150749242 150929618 156646294 301498484 301859236 313292588 36039836641 72079673282 144159346564 252278856487 504557712974 1009115425948