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677589293472 = 253721323895413
BaseRepresentation
bin10011101110000110111…
…10000001100110100000
32101202222100210112211020
421313003132001212200
542100200324342342
61235140310045440
766645202651500
oct11670336014640
92352870715736
10677589293472
11241400545133
12ab3a3349880
134bb864c8350
1424b1cbb3a00
151295b89d0ec
hex9dc37819a0

677589293472 has 576 divisors, whose sum is σ = 2351664887040. Its totient is φ = 168983248896.

The previous prime is 677589293411. The next prime is 677589293489. The reversal of 677589293472 is 274392985776.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a junction number, because it is equal to n+sod(n) for n = 677589293397 and 677589293406.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125175438 + ... + 125180850.

It is an arithmetic number, because the mean of its divisors is an integer number (4082751540).

Almost surely, 2677589293472 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 677589293472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175832443520).

677589293472 is an abundant number, since it is smaller than the sum of its proper divisors (1674075593568).

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

677589293472 is a wasteful number, since it uses less digits than its factorization.

677589293472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5565 (or 5550 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 69.

The spelling of 677589293472 in words is "six hundred seventy-seven billion, five hundred eighty-nine million, two hundred ninety-three thousand, four hundred seventy-two".