Search a number
-
+
53706240000 = 2123454737
BaseRepresentation
bin110010000001001001…
…000011000000000000
312010121212202200010000
4302001021003000000
51334442244140000
640401115040000
73610614336120
oct620111030000
9163555680100
1053706240000
112085a855016
12a4aa140000
1350ab86994a
142856a56c80
1515e4e40000
hexc81243000

53706240000 has 1300 divisors, whose sum is σ = 235313538064. Its totient is φ = 11943936000.

The previous prime is 53706239921. The next prime is 53706240001. The reversal of 53706240000 is 4260735.

It is a happy number.

53706240000 is a `hidden beast` number, since 5 + 37 + 0 + 624 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53706240001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1451519982 + ... + 1451520018.

Almost surely, 253706240000 is an apocalyptic number.

53706240000 is a gapful number since it is divisible by the number (50) 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 53706240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117656769032).

53706240000 is an abundant number, since it is smaller than the sum of its proper divisors (181607298064).

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

53706240000 is an frugal number, since it uses more digits than its factorization.

53706240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 53706240000 in words is "fifty-three billion, seven hundred six million, two hundred forty thousand".