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77027148444 = 2231731671071699
BaseRepresentation
bin100011110111100101…
…1010000001010011100
321100211011011120022210
41013233023100022130
52230222422222234
655215155040420
75364542646621
oct1075713201234
9240734146283
1077027148444
112a7378a9774
1212b182a0110
13735726765c
143a29ddc348
15200c4ddbe9
hex11ef2d029c

77027148444 has 192 divisors, whose sum is σ = 201354854400. Its totient is φ = 22808079360.

The previous prime is 77027148431. The next prime is 77027148449. The reversal of 77027148444 is 44484172077.

It is a happy number.

It is a super-2 number, since 2×770271484442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 77027148393 and 77027148402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77027148449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45335907 + ... + 45337605.

It is an arithmetic number, because the mean of its divisors is an integer number (1048723200).

Almost surely, 277027148444 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 77027148444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100677427200).

77027148444 is an abundant number, since it is smaller than the sum of its proper divisors (124327705956).

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

77027148444 is a wasteful number, since it uses less digits than its factorization.

77027148444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 48.

The spelling of 77027148444 in words is "seventy-seven billion, twenty-seven million, one hundred forty-eight thousand, four hundred forty-four".