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7148026116 = 223472112612
BaseRepresentation
bin1101010100000111…
…00011100100000100
3200110011021100110000
412222003203210010
5104114343313431
63141143001300
7342064135200
oct65203434404
920404240400
107148026116
113038968900
121475a39230
1389bb9356a
144bb48db00
152bc8089e6
hex1aa0e3904

7148026116 has 405 divisors, whose sum is σ = 24291047781. Its totient is φ = 1826193600.

The previous prime is 7148026063. The next prime is 7148026129. The reversal of 7148026116 is 6116208417.

It is a happy number.

The square root of 7148026116 is 84546.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 232440516 + 6915585600 = 15246^2 + 83160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 117180726 + ... + 117180786.

Almost surely, 27148026116 is an apocalyptic number.

7148026116 is the 84546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7148026116

7148026116 is an abundant number, since it is smaller than the sum of its proper divisors (17143021665).

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

7148026116 is a wasteful number, since it uses less digits than its factorization.

7148026116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 7148026116 is about 1926.3212263004.

Multiplying 7148026116 by its sum of digits (36), we get a square (257328940176 = 5072762).

7148026116 divided by its sum of digits (36) gives a square (198556281 = 140912).

The spelling of 7148026116 in words is "seven billion, one hundred forty-eight million, twenty-six thousand, one hundred sixteen".