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5135014083600 = 2435523147101359
BaseRepresentation
bin100101010111001011010…
…1100001011110000010000
3200011220100221221012200000
41022232112230023300100
51133113002101133400
614530554244530000
71036664302352052
oct112562654136020
920156327835600
105135014083600
1116aa824642935
126ab2499b0900
132b32ca9b8b6b
1413a770b3b8d2
158d89086e600
hex4ab96b0bc10

5135014083600 has 1440 divisors, whose sum is σ = 19729617223680. Its totient is φ = 1280551680000.

The previous prime is 5135014083599. The next prime is 5135014083601. The reversal of 5135014083600 is 63804105315.

5135014083600 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 0 + 1 + 40 + 8 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5135014083599) and next prime (5135014083601).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5135014083601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14303660221 + ... + 14303660579.

It is an arithmetic number, because the mean of its divisors is an integer number (13701123072).

Almost surely, 25135014083600 is an apocalyptic number.

5135014083600 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 5135014083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864808611840).

5135014083600 is an abundant number, since it is smaller than the sum of its proper divisors (14594603140080).

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

5135014083600 is a wasteful number, since it uses less digits than its factorization.

5135014083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 5135014083600 its reverse (63804105315), we get a palindrome (5198818188915).

The spelling of 5135014083600 in words is "five trillion, one hundred thirty-five billion, fourteen million, eighty-three thousand, six hundred".