Search a number
-
+
6010992000 = 27325313319
BaseRepresentation
bin1011001100100100…
…00111010110000000
3120111220202000212100
411212102013112000
544302303221000
62432244230400
7301646406006
oct54622072600
916456660770
106010992000
112605059292
1211b909b400
1374a447000
14410470a76
15252aa9a00
hex166487580

6010992000 has 768 divisors, whose sum is σ = 24615864000. Its totient is φ = 1401753600.

The previous prime is 6010991999. The next prime is 6010992047. The reversal of 6010992000 is 2990106.

It is a happy number.

It is a super-2 number, since 2×60109920002 = 72264049648128000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316367991 + ... + 316368009.

Almost surely, 26010992000 is an apocalyptic number.

6010992000 is a gapful number since it is divisible by the number (60) 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 6010992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307932000).

6010992000 is an abundant number, since it is smaller than the sum of its proper divisors (18604872000).

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

6010992000 is a wasteful number, since it uses less digits than its factorization.

6010992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 6010992000 is about 77530.5875122845. The cubic root of 6010992000 is about 1818.2295708670.

The spelling of 6010992000 in words is "six billion, ten million, nine hundred ninety-two thousand".