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17404142292 = 22321743365677
BaseRepresentation
bin10000001101010111…
…100010001011010100
31122220220222000220200
4100031113202023110
5241120430023132
611554555100500
71154201524425
oct201527421324
948826860820
1017404142292
117421203779
123458741730
131844955264
14bb164164c
156bce07d7c
hex40d5e22d4

17404142292 has 72 divisors (see below), whose sum is σ = 46689964776. Its totient is φ = 5447430144.

The previous prime is 17404142201. The next prime is 17404142303. The reversal of 17404142292 is 29224140471.

It is a happy number.

17404142292 is a `hidden beast` number, since 17 + 4 + 0 + 414 + 229 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 286083396 + 17118058896 = 16914^2 + 130836^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232158 + ... + 297834.

It is an arithmetic number, because the mean of its divisors is an integer number (648471733).

Almost surely, 217404142292 is an apocalyptic number.

17404142292 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 17404142292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23344982388).

17404142292 is an abundant number, since it is smaller than the sum of its proper divisors (29285822484).

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

17404142292 is a wasteful number, since it uses less digits than its factorization.

17404142292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66137 (or 66132 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 17404142292 in words is "seventeen billion, four hundred four million, one hundred forty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 433 612 866 1299 1732 2598 3897 5196 7361 7794 14722 15588 22083 29444 44166 65677 66249 88332 131354 132498 197031 262708 264996 394062 591093 788124 1116509 1182186 2233018 2364372 3349527 4466036 6699054 10048581 13398108 20097162 28438141 40194324 56876282 85314423 113752564 170628846 255943269 341257692 483448397 511886538 966896794 1023773076 1450345191 1933793588 2900690382 4351035573 5801380764 8702071146 17404142292