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77146803342 = 23273295967109
BaseRepresentation
bin100011111011001001…
…1101100110010001110
321101010111022122222200
41013312103230302032
52230444040201332
655235111422330
75400525003000
oct1076623546216
9241114278880
1077146803342
112a7993a5214
1212b503849a6
137375ca047b
143a3bc68370
152017c7717c
hex11f64ecc8e

77146803342 has 384 divisors, whose sum is σ = 210038400000. Its totient is φ = 20419838208.

The previous prime is 77146803317. The next prime is 77146803347. The reversal of 77146803342 is 24330864177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77146803347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 707768784 + ... + 707768892.

It is an arithmetic number, because the mean of its divisors is an integer number (546975000).

Almost surely, 277146803342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77146803342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200000).

77146803342 is an abundant number, since it is smaller than the sum of its proper divisors (132891596658).

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

77146803342 is a wasteful number, since it uses less digits than its factorization.

77146803342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 77146803342 in words is "seventy-seven billion, one hundred forty-six million, eight hundred three thousand, three hundred forty-two".