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5036653440 = 273357133203
BaseRepresentation
bin1001011000011010…
…10011101110000000
3111000000100111122000
410230031103232000
540303340402230
62151440544000
7235545563550
oct45415235600
914000314560
105036653440
112155072305
12b86922000
13623623110
1435acc3160
151e7296b60
hex12c353b80

5036653440 has 512 divisors, whose sum is σ = 21961497600. Its totient is φ = 1062346752.

The previous prime is 5036653439. The next prime is 5036653477. The reversal of 5036653440 is 443566305.

5036653440 is a `hidden beast` number, since 50 + 36 + 6 + 534 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5036653395 and 5036653404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1570879 + ... + 1574081.

It is an arithmetic number, because the mean of its divisors is an integer number (42893550).

Almost surely, 25036653440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5036653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980748800).

5036653440 is an abundant number, since it is smaller than the sum of its proper divisors (16924844160).

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

5036653440 is a wasteful number, since it uses less digits than its factorization.

5036653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 5036653440 is about 70969.3838214761. The cubic root of 5036653440 is about 1714.1442111773.

The spelling of 5036653440 in words is "five billion, thirty-six million, six hundred fifty-three thousand, four hundred forty".