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677352396252 = 223783244739703
BaseRepresentation
bin10011101101101010101…
…10010101010111011100
32101202100212000220221010
421312311112111113130
542044204203140002
61235101004335220
766636265241160
oct11666526252734
92352325026833
10677352396252
11241299850804
12ab337b44510
134bb493c288c
1424ad9548ca0
1512945ba646c
hex9db55955dc

677352396252 has 96 divisors (see below), whose sum is σ = 1828828495872. Its totient is φ = 191114629056.

The previous prime is 677352396233. The next prime is 677352396293. The reversal of 677352396252 is 252693253776.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 677352396192 and 677352396201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17040633 + ... + 17080335.

It is an arithmetic number, because the mean of its divisors is an integer number (19050296832).

Almost surely, 2677352396252 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 677352396252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914414247936).

677352396252 is an abundant number, since it is smaller than the sum of its proper divisors (1151476099620).

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

677352396252 is a wasteful number, since it uses less digits than its factorization.

677352396252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42247 (or 42245 counting only the distinct ones).

The product of its digits is 28576800, while the sum is 57.

The spelling of 677352396252 in words is "six hundred seventy-seven billion, three hundred fifty-two million, three hundred ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 2447 3486 4894 6972 7341 9788 14682 17129 29364 34258 39703 51387 68516 79406 102774 119109 158812 203101 205548 238218 277921 406202 476436 555842 609303 812404 833763 1111684 1218606 1421707 1667526 2437212 2843414 3295349 3335052 4265121 5686828 6590698 8530242 9886047 13181396 17060484 19772094 23067443 39544188 46134886 69202329 92269772 97153241 138404658 194306482 276809316 291459723 388612964 582919446 680072687 1165838892 1360145374 2040218061 2720290748 4080436122 8063719003 8160872244 16127438006 24191157009 32254876012 48382314018 56446033021 96764628036 112892066042 169338099063 225784132084 338676198126 677352396252