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5213053440 = 29325732323
BaseRepresentation
bin1001101101011100…
…01110001000000000
3111110022021112221100
410312232032020000
541134020202230
62221141454400
7243120136350
oct46656161000
914408245840
105213053440
1122356a6231
121015a11400
1365103650a
143764c0b60
152079dd660
hex136b8e200

5213053440 has 240 divisors, whose sum is σ = 20634090048. Its totient is φ = 1191518208.

The previous prime is 5213053409. The next prime is 5213053441. The reversal of 5213053440 is 443503125.

5213053440 is a `hidden beast` number, since 5 + 213 + 0 + 5 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (5213053441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145119 + ... + 177441.

Almost surely, 25213053440 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 5213053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10317045024).

5213053440 is an abundant number, since it is smaller than the sum of its proper divisors (15421036608).

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

5213053440 is a wasteful number, since it uses less digits than its factorization.

5213053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32359 (or 32340 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5213053440 is about 72201.4781012134. The cubic root of 5213053440 is about 1733.9266660397.

Adding to 5213053440 its reverse (443503125), we get a palindrome (5656556565).

It can be divided in two parts, 52130 and 53440, that added together give a triangular number (105570 = T459).

The spelling of 5213053440 in words is "five billion, two hundred thirteen million, fifty-three thousand, four hundred forty".