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9981144157 = 105124473881
BaseRepresentation
bin10010100101110110…
…00010110001011101
3221202121021122202211
421102323002301131
5130420133103112
64330230320421
7502225216435
oct112273026135
927677248684
109981144157
114262106376
121b267b9111
13c30b17a7a
146a98552c5
153d63d60a7
hex252ec2c5d

9981144157 has 8 divisors (see below), whose sum is σ = 9997299072. Its totient is φ = 9965004000.

The previous prime is 9981144127. The next prime is 9981144241. The reversal of 9981144157 is 7514411899.

9981144157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9981144157 - 27 = 9981144029 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9981144157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981144127) by changing a digit.

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, 2569857 + ... + 2573737.

It is an arithmetic number, because the mean of its divisors is an integer number (1249662384).

Almost surely, 29981144157 is an apocalyptic number.

It is an amenable number.

9981144157 is a deficient number, since it is larger than the sum of its proper divisors (16154915).

9981144157 is a wasteful number, since it uses less digits than its factorization.

9981144157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379.

The product of its digits is 362880, while the sum is 49.

The square root of 9981144157 is about 99905.6763001983. The cubic root of 9981144157 is about 2153.0797152927.

The spelling of 9981144157 in words is "nine billion, nine hundred eighty-one million, one hundred forty-four thousand, one hundred fifty-seven".

Divisors: 1 1051 2447 3881 2571797 4078931 9496807 9981144157