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17970490304 = 261323990373
BaseRepresentation
bin10000101111000111…
…111110101111000000
31201101101122111022222
4100233013332233000
5243300421142204
612131105550212
71204216435004
oct205707765700
951341574288
1017970490304
117691967388
123596345368
13190509a820
14c26948704
157029c9abe
hex42f1febc0

17970490304 has 56 divisors (see below), whose sum is σ = 38564393280. Its totient is φ = 8259277824.

The previous prime is 17970490283. The next prime is 17970490361. The reversal of 17970490304 is 40309407971.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153662 + ... + 244034.

It is an arithmetic number, because the mean of its divisors is an integer number (688649880).

Almost surely, 217970490304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17970490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282196640).

17970490304 is an abundant number, since it is smaller than the sum of its proper divisors (20593902976).

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

17970490304 is a wasteful number, since it uses less digits than its factorization.

17970490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90637 (or 90627 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 17970490304 in words is "seventeen billion, nine hundred seventy million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 239 416 478 832 956 1912 3107 3824 6214 7648 12428 15296 24856 49712 90373 99424 180746 198848 361492 722984 1174849 1445968 2349698 2891936 4699396 5783872 9398792 18797584 21599147 37595168 43198294 75190336 86396588 172793176 280788911 345586352 561577822 691172704 1123155644 1382345408 2246311288 4492622576 8985245152 17970490304