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2985301116 = 22337173159127
BaseRepresentation
bin1011000111110000…
…0001010001111100
321201001101000021000
42301330001101330
522103214113431
61212121210300
7133656432540
oct26174012174
97631330230
102985301116
1112a2140a06
126b3930990
13387638c85
1420469ba20
1512713d9e6
hexb1f0147c

2985301116 has 384 divisors, whose sum is σ = 9909043200. Its totient is φ = 757693440.

The previous prime is 2985301091. The next prime is 2985301117. The reversal of 2985301116 is 6111035892.

2985301116 is a `hidden beast` number, since 2 + 9 + 8 + 530 + 1 + 116 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985301117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23506245 + ... + 23506371.

It is an arithmetic number, because the mean of its divisors is an integer number (25804800).

Almost surely, 22985301116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985301116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4954521600).

2985301116 is an abundant number, since it is smaller than the sum of its proper divisors (6923742084).

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

2985301116 is a wasteful number, since it uses less digits than its factorization.

2985301116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2985301116 is about 54637.9091474042. The cubic root of 2985301116 is about 1439.8902173250.

The spelling of 2985301116 in words is "two billion, nine hundred eighty-five million, three hundred one thousand, one hundred sixteen".