Search a number
-
+
5101052436000 = 253453171979617
BaseRepresentation
bin100101000111010111001…
…1010110001111000100000
3200001122201010002202110000
41022032232122301320200
51132033423410423000
614503220252540000
71034352556203153
oct112165632617040
920048633082400
105101052436000
111697387130384
126a4750181600
132b004793ccb1
14138c6c4c3c9a
158ca54049000
hex4a3ae6b1e20

5101052436000 has 1920 divisors, whose sum is σ = 21165643699200. Its totient is φ = 1195587993600.

The previous prime is 5101052435989. The next prime is 5101052436031. The reversal of 5101052436000 is 6342501015.

5101052436000 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 0 + 52 + 4 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 8267507692 + ... + 8267508308.

It is an arithmetic number, because the mean of its divisors is an integer number (11023772760).

Almost surely, 25101052436000 is an apocalyptic number.

5101052436000 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 5101052436000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10582821849600).

5101052436000 is an abundant number, since it is smaller than the sum of its proper divisors (16064591263200).

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

5101052436000 is a wasteful number, since it uses less digits than its factorization.

5101052436000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 5101052436000 its reverse (6342501015), we get a palindrome (5107394937015).

The spelling of 5101052436000 in words is "five trillion, one hundred one billion, fifty-two million, four hundred thirty-six thousand".