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5213269152 = 25327213157181
BaseRepresentation
bin1001101101011110…
…00010110010100000
3111110022200111211200
410312233002302200
541134044103102
62221150241200
7243122025300
oct46657026240
914408614750
105213269152
112235833303
121015ab6200
136510b0760
14376539600
15207a3251c
hex136bc2ca0

5213269152 has 432 divisors, whose sum is σ = 18793828872. Its totient is φ = 1358622720.

The previous prime is 5213269151. The next prime is 5213269213. The reversal of 5213269152 is 2519623125.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1359839376 + 3853429776 = 36876^2 + 62076^2 .

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 (5213269151) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28802502 + ... + 28802682.

Almost surely, 25213269152 is an apocalyptic number.

5213269152 is a gapful number since it is divisible by the number (52) 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 5213269152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9396914436).

5213269152 is an abundant number, since it is smaller than the sum of its proper divisors (13580559720).

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

5213269152 is a wasteful number, since it uses less digits than its factorization.

5213269152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 5213269152 is about 72202.9719055940. The cubic root of 5213269152 is about 1733.9505818781.

The spelling of 5213269152 in words is "five billion, two hundred thirteen million, two hundred sixty-nine thousand, one hundred fifty-two".