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678257573521231 = 11231491936759599
BaseRepresentation
bin1001101000110111110010010…
…1101111000110011101001111
310021221111210100110220221111201
42122031330211233012131033
51202400033002310134411
610402311121110330331
7262602330646606144
oct23215744557063517
93257453313827451
10678257573521231
11187128470129100
12640a2a410599a7
132315c551256b72
14bd6bbad9543cb
1553630817993c1
hex268df25bc674f

678257573521231 has 24 divisors (see below), whose sum is σ = 769728379392000. Its totient is φ = 596586219781200.

The previous prime is 678257573521211. The next prime is 678257573521343. The reversal of 678257573521231 is 132125375752876.

It is not a de Polignac number, because 678257573521231 - 215 = 678257573488463 is a prime.

It is a super-2 number, since 2×6782575735212312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678257573521211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71370 + ... + 36830968.

It is an arithmetic number, because the mean of its divisors is an integer number (32072015808000).

Almost surely, 2678257573521231 is an apocalyptic number.

678257573521231 is a deficient number, since it is larger than the sum of its proper divisors (91470805870769).

678257573521231 is a wasteful number, since it uses less digits than its factorization.

678257573521231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36764571 (or 36764560 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 64.

The spelling of 678257573521231 in words is "six hundred seventy-eight trillion, two hundred fifty-seven billion, five hundred seventy-three million, five hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 11 31 121 341 3751 4919 54109 152489 595199 1677379 18451169 36759599 404355589 1139547569 4447911479 12535023259 137885255849 180820467481 1989025142291 5605434491911 21879276565201 61659779411021 678257573521231