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52914109248 = 2636711213103
BaseRepresentation
bin110001010001111011…
…010011101101000000
312001120200020021000000
4301101323103231000
51331332002443443
640150341000000
73552155336040
oct612173235500
9161520207000
1052914109248
11204936a9500
12a3089b3000
134cb3710820
1427bd779720
15159a61e8d3
hexc51ed3b40

52914109248 has 1176 divisors, whose sum is σ = 215043780224. Its totient is φ = 12563527680.

The previous prime is 52914109247. The next prime is 52914109249. The reversal of 52914109248 is 84290141925.

It is a happy number.

52914109248 is a `hidden beast` number, since 529 + 14 + 109 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52914109247) and next prime (52914109249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52914109247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 513729165 + ... + 513729267.

Almost surely, 252914109248 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 52914109248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107521890112).

52914109248 is an abundant number, since it is smaller than the sum of its proper divisors (162129670976).

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

52914109248 is a wasteful number, since it uses less digits than its factorization.

52914109248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 52914109248 in words is "fifty-two billion, nine hundred fourteen million, one hundred nine thousand, two hundred forty-eight".