Search a number
-
+
6103738494144 = 263617235359107
BaseRepresentation
bin101100011010010001100…
…1010100010110011000000
3210121111211000211002000000
41120310203022202303000
51300000424023303034
620552004015000000
71166660221110414
oct130644312426300
923544730732000
106103738494144
111a4364328a535
12826b41809000
13353770550445
141715cb570d44
15a8b8b4de599
hex58d232a2cc0

6103738494144 has 1568 divisors, whose sum is σ = 20983425891840. Its totient is φ = 1750113091584.

The previous prime is 6103738494107. The next prime is 6103738494169. The reversal of 6103738494144 is 4414948373016.

6103738494144 is a `hidden beast` number, since 6 + 1 + 0 + 3 + 7 + 3 + 8 + 494 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 57044284939 + ... + 57044285045.

Almost surely, 26103738494144 is an apocalyptic number.

6103738494144 is a gapful number since it is divisible by the number (64) 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 6103738494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10491712945920).

6103738494144 is an abundant number, since it is smaller than the sum of its proper divisors (14879687397696).

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

6103738494144 is a wasteful number, since it uses less digits than its factorization.

6103738494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6103738494144 in words is "six trillion, one hundred three billion, seven hundred thirty-eight million, four hundred ninety-four thousand, one hundred forty-four".