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417742886172 = 223173415948383
BaseRepresentation
bin1100001010000110110…
…10101001010100011100
31110221021012221101011010
412011003122221110130
523321014134324142
6515524115455220
742116025642063
oct6050332512434
91427235841133
10417742886172
11151188a72397
1268b652b7510
1330515508261
141630c7c11da
15acee414e9c
hex61436a951c

417742886172 has 48 divisors (see below), whose sum is σ = 980623687680. Its totient is φ = 138406580928.

The previous prime is 417742886149. The next prime is 417742886177. The reversal of 417742886172 is 271688247714.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417742886177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8609893 + ... + 8658275.

It is an arithmetic number, because the mean of its divisors is an integer number (20429660160).

Almost surely, 2417742886172 is an apocalyptic number.

It is an amenable number.

417742886172 is an abundant number, since it is smaller than the sum of its proper divisors (562880801508).

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

417742886172 is a wasteful number, since it uses less digits than its factorization.

417742886172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52722 (or 52720 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 57.

The spelling of 417742886172 in words is "four hundred seventeen billion, seven hundred forty-two million, eight hundred eighty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 173 346 519 692 1038 2076 4159 8318 12477 16636 24954 48383 49908 96766 145149 193532 290298 580596 719507 1439014 2158521 2878028 4317042 8370259 8634084 16740518 25110777 33481036 50221554 100443108 201224897 402449794 603674691 804899588 1207349382 2414698764 34811907181 69623814362 104435721543 139247628724 208871443086 417742886172