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17674007052 = 223138310712757
BaseRepresentation
bin10000011101011100…
…111111001000001100
31200121201202120202210
4100131130333020030
5242144021211202
612041435150420
71163656403232
oct203534771014
950551676683
1017674007052
11754a5750a9
123512ba5410
131888831650
14bd940c952
156d6962c6c
hex41d73f20c

17674007052 has 96 divisors (see below), whose sum is σ = 45370305792. Its totient is φ = 5322007296.

The previous prime is 17674007023. The next prime is 17674007083. The reversal of 17674007052 is 25070047671.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 17674007052.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1379058 + ... + 1391814.

It is an arithmetic number, because the mean of its divisors is an integer number (472607352).

Almost surely, 217674007052 is an apocalyptic number.

17674007052 is a gapful number since it is divisible by the number (12) 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 17674007052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22685152896).

17674007052 is an abundant number, since it is smaller than the sum of its proper divisors (27696298740).

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

17674007052 is a wasteful number, since it uses less digits than its factorization.

17674007052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967 (or 12965 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 17674007052 in words is "seventeen billion, six hundred seventy-four million, seven thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 107 156 166 214 249 321 332 428 498 642 996 1079 1284 1391 2158 2782 3237 4173 4316 5564 6474 8346 8881 12757 12948 16692 17762 25514 26643 35524 38271 51028 53286 76542 106572 115453 153084 165841 230906 331682 346359 461812 497523 663364 692718 995046 1058831 1364999 1385436 1990092 2117662 2729998 3176493 4094997 4235324 5459996 6352986 8189994 12705972 13764803 16379988 17744987 27529606 35489974 41294409 53234961 55059212 70979948 82588818 106469922 113294917 165177636 212939844 226589834 339884751 453179668 679769502 1359539004 1472833921 2945667842 4418501763 5891335684 8837003526 17674007052