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76427147430 = 23551011372273
BaseRepresentation
bin100011100101101101…
…0011011100010100110
321022021100011100200000
41013023122123202212
52223010322204210
655035443002130
75343636014544
oct1071332334246
9238240140600
1076427147430
112a45a150067
121298b369346
13728cb6b47a
1439b0454d94
151ec49c0ac0
hex11cb69b8a6

76427147430 has 192 divisors, whose sum is σ = 209721814848. Its totient is φ = 20022681600.

The previous prime is 76427147429. The next prime is 76427147437. The reversal of 76427147430 is 3474172467.

76427147430 is a `hidden beast` number, since 76 + 4 + 2 + 7 + 147 + 430 = 666.

It is a super-2 number, since 2×764271474302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76427147437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33622774 + ... + 33625046.

It is an arithmetic number, because the mean of its divisors is an integer number (1092301119).

Almost surely, 276427147430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76427147430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104860907424).

76427147430 is an abundant number, since it is smaller than the sum of its proper divisors (133294667418).

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

76427147430 is a wasteful number, since it uses less digits than its factorization.

76427147430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 76427147430 in words is "seventy-six billion, four hundred twenty-seven million, one hundred forty-seven thousand, four hundred thirty".