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17968474008 = 23322922937579
BaseRepresentation
bin10000101111000000…
…010010011110011000
31201101020212001111100
4100233000102132120
5243244412132013
612130554431400
71204163336412
oct205700223630
951336761440
1017968474008
11769080a521
123595732560
131904842b54
14c265819b2
1570272c473
hex42f012798

17968474008 has 96 divisors (see below), whose sum is σ = 50563890000. Its totient is φ = 5757550848.

The previous prime is 17968473989. The next prime is 17968474019. The reversal of 17968474008 is 80047486971.

It is a happy number.

17968474008 is a `hidden beast` number, since 179 + 68 + 4 + 7 + 400 + 8 = 666.

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, 459363 + ... + 496941.

Almost surely, 217968474008 is an apocalyptic number.

17968474008 is a gapful number since it is divisible by the number (18) 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 17968474008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25281945000).

17968474008 is an abundant number, since it is smaller than the sum of its proper divisors (32595415992).

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

17968474008 is a wasteful number, since it uses less digits than its factorization.

17968474008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37849 (or 37842 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 17968474008 in words is "seventeen billion, nine hundred sixty-eight million, four hundred seventy-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 229 232 261 348 458 522 687 696 916 1044 1374 1832 2061 2088 2748 4122 5496 6641 8244 13282 16488 19923 26564 37579 39846 53128 59769 75158 79692 112737 119538 150316 159384 225474 239076 300632 338211 450948 478152 676422 901896 1089791 1352844 2179582 2705688 3269373 4359164 6538746 8605591 8718328 9808119 13077492 17211182 19616238 25816773 26154984 34422364 39232476 51633546 68844728 77450319 78464952 103267092 154900638 206534184 249562139 309801276 499124278 619602552 748686417 998248556 1497372834 1996497112 2246059251 2994745668 4492118502 5989491336 8984237004 17968474008