Search a number
-
+
2955144192 = 210371113312
BaseRepresentation
bin1011000000100011…
…1110110000000000
321121221121212201220
42300020332300000
522023004103232
61205122555040
7133142211510
oct26010766000
97557555656
102955144192
111287113630
126a5808a80
1338130a740
1420068b840
1512468342c
hexb023ec00

2955144192 has 528 divisors, whose sum is σ = 10927639296. Its totient is φ = 685670400.

The previous prime is 2955144191. The next prime is 2955144193. The reversal of 2955144192 is 2914415592.

It is an interprime number because it is at equal distance from previous prime (2955144191) and next prime (2955144193).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×29551441922 = 17465754391022665728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955144191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95327217 + ... + 95327247.

Almost surely, 22955144192 is an apocalyptic number.

2955144192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2955144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463819648).

2955144192 is an abundant number, since it is smaller than the sum of its proper divisors (7972495104).

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

2955144192 is a wasteful number, since it uses less digits than its factorization.

2955144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 67 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 2955144192 is about 54361.2379549988. The cubic root of 2955144192 is about 1435.0253030863.

The spelling of 2955144192 in words is "two billion, nine hundred fifty-five million, one hundred forty-four thousand, one hundred ninety-two".