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87553106223 = 311171639111051
BaseRepresentation
bin101000110001010010…
…0100110000100101111
322100222201121121212220
41101202210212010233
52413302043344343
6104115450530423
76216435060312
oct1214244460457
9270881547786
1087553106223
113414949a630
1214b75436a13
138343bc803b
144347d52979
152426641183
hex146292612f

87553106223 has 64 divisors (see below), whose sum is σ = 135946543104. Its totient is φ = 49533120000.

The previous prime is 87553106213. The next prime is 87553106269. The reversal of 87553106223 is 32260135578.

It is a happy number.

It is not a de Polignac number, because 87553106223 - 29 = 87553105711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87553106213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83304048 + ... + 83305098.

It is an arithmetic number, because the mean of its divisors is an integer number (2124164736).

Almost surely, 287553106223 is an apocalyptic number.

87553106223 is a deficient number, since it is larger than the sum of its proper divisors (48393436881).

87553106223 is a wasteful number, since it uses less digits than its factorization.

87553106223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156.

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 87553106223 in words is "eighty-seven billion, five hundred fifty-three million, one hundred six thousand, two hundred twenty-three".

Divisors: 1 3 11 17 33 51 163 187 489 561 911 1051 1793 2733 2771 3153 5379 8313 10021 11561 15487 17867 30063 30481 34683 46461 53601 91443 148493 170357 171313 196537 445479 511071 513939 589611 957461 1633423 1884443 2524381 2872383 2912321 4900269 5653329 7573143 8736963 10532071 16276837 27768191 31596213 32035531 48830511 83304573 96106593 156066143 179045207 468198429 537135621 1716727573 2653124431 5150182719 7959373293 29184368741 87553106223