Base | Representation |
---|---|
bin | 1001101000100101001110000… |
… | …1110011001001101000000000 |
3 | 10021220101022001002112201220000 |
4 | 2122021103201303021220000 |
5 | 1202324321231133332232 |
6 | 10401504410212520000 |
7 | 262540306435654500 |
oct | 23211234163115000 |
9 | 3256338032481800 |
10 | 677938606152192 |
11 | 18701516a393800 |
12 | 64051063620000 |
13 | 2313844a974188 |
14 | bd5a59172da00 |
15 | 5359b13d4927c |
hex | 26894e1cc9a00 |
677938606152192 has 5400 divisors, whose sum is σ = 2832763596838560. Its totient is φ = 160369735680000.
The previous prime is 677938606152187. The next prime is 677938606152193. The reversal of 677938606152192 is 291251606839776.
677938606152192 is a `hidden beast` number, since 6 + 7 + 7 + 9 + 3 + 8 + 6 + 0 + 6 + 1 + 521 + 92 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a self number, because there is not a number n which added to its sum of digits gives 677938606152192.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (677938606152193) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 4489659643317 + ... + 4489659643467.
Almost surely, 2677938606152192 is an apocalyptic number.
677938606152192 is a gapful number since it is divisible by the number (62) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 677938606152192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416381798419280).
677938606152192 is an abundant number, since it is smaller than the sum of its proper divisors (2154824990686368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
677938606152192 is a wasteful number, since it uses less digits than its factorization.
677938606152192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 298 (or 224 counting only the distinct ones).
The product of its (nonzero) digits is 411505920, while the sum is 72.
The spelling of 677938606152192 in words is "six hundred seventy-seven trillion, nine hundred thirty-eight billion, six hundred six million, one hundred fifty-two thousand, one hundred ninety-two".
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