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77873425056 = 2533789199727
BaseRepresentation
bin100100010000110011…
…1100010101010100000
321110000010120212121000
41020201213202222200
52233441044100211
655435145432000
75424530122440
oct1104147425240
9243003525530
1077873425056
1130031577929
121311379b600
1374606a0c4b
143aaa572120
15205b957656
hex12219e2aa0

77873425056 has 384 divisors, whose sum is σ = 264176640000. Its totient is φ = 21858895872.

The previous prime is 77873425043. The next prime is 77873425067. The reversal of 77873425056 is 65052437877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77873424993 and 77873425011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107115765 + ... + 107116491.

It is an arithmetic number, because the mean of its divisors is an integer number (687960000).

Almost surely, 277873425056 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 77873425056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320000).

77873425056 is an abundant number, since it is smaller than the sum of its proper divisors (186303214944).

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

77873425056 is a wasteful number, since it uses less digits than its factorization.

77873425056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 77873425056 in words is "seventy-seven billion, eight hundred seventy-three million, four hundred twenty-five thousand, fifty-six".