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76270245084 = 2234113475371
BaseRepresentation
bin100011100001000001…
…1111001010011011100
321021212101220220010000
41013002003321103130
52222200140320314
655012120014300
75340022246365
oct1070203712334
9237771826100
1076270245084
112a389624000
1212946901390
1372664c3947
143997690b6c
151eb5d2b209
hex11c20f94dc

76270245084 has 480 divisors, whose sum is σ = 231415252992. Its totient is φ = 21881059200.

The previous prime is 76270245083. The next prime is 76270245091. The reversal of 76270245084 is 48054207267.

It is a happy number.

76270245084 is a `hidden beast` number, since 76 + 2 + 70 + 2 + 4 + 508 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76270245083) 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 159 ways as a sum of consecutive naturals, for example, 1074228769 + ... + 1074228839.

Almost surely, 276270245084 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 76270245084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115707626496).

76270245084 is an abundant number, since it is smaller than the sum of its proper divisors (155145007908).

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

76270245084 is a wasteful number, since it uses less digits than its factorization.

76270245084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 76270245084 in words is "seventy-six billion, two hundred seventy million, two hundred forty-five thousand, eighty-four".