Search a number
-
+
18248675927040 = 21032513172234583
BaseRepresentation
bin1000010011000110110011…
…10110001010010000000000
32101121120000121020122011200
410021203121312022100000
54342441242014131130
6102451154225141200
73562265126021346
oct411433166122000
971546017218150
1018248675927040
1158a6246900929
12206887078a800
13a24ac56c5330
144713523d3996
15219a53829760
hex1098d9d8a400

18248675927040 has 1584 divisors, whose sum is σ = 75497871391488. Its totient is φ = 4043050057728.

The previous prime is 18248675927021. The next prime is 18248675927077. The reversal of 18248675927040 is 4072957684281.

It is a happy number.

18248675927040 is a `hidden beast` number, since 1 + 82 + 486 + 7 + 5 + 9 + 2 + 70 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3981816589 + ... + 3981821171.

Almost surely, 218248675927040 is an apocalyptic number.

18248675927040 is a gapful number since it is divisible by the number (10) 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 18248675927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37748935695744).

18248675927040 is an abundant number, since it is smaller than the sum of its proper divisors (57249195464448).

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

18248675927040 is a wasteful number, since it uses less digits than its factorization.

18248675927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 18248675927040 in words is "eighteen trillion, two hundred forty-eight billion, six hundred seventy-five million, nine hundred twenty-seven thousand, forty".