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168944016 = 243231371117
BaseRepresentation
bin10100001000111…
…10000110010000
3102202220020121210
422010132012100
5321222202031
624433020120
74121000103
oct1204360620
9382806553
10168944016
118740115a
12486b4640
1329002797
141861a73a
15ec72746
hexa11e190

168944016 has 80 divisors (see below), whose sum is σ = 459149184. Its totient is φ = 53425152.

The previous prime is 168943987. The next prime is 168944023. The reversal of 168944016 is 610449861.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150690 + ... + 151806.

Almost surely, 2168944016 is an apocalyptic number.

168944016 is a gapful number since it is divisible by the number (16) 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 168944016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229574592).

168944016 is an abundant number, since it is smaller than the sum of its proper divisors (290205168).

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

168944016 is a wasteful number, since it uses less digits than its factorization.

168944016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 168944016 is about 12997.8465908780. The cubic root of 168944016 is about 552.8164247380.

It can be divided in two parts, 16894 and 4016, that added together give a triangular number (20910 = T204).

The spelling of 168944016 in words is "one hundred sixty-eight million, nine hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 137 138 184 274 276 368 411 548 552 822 1096 1104 1117 1644 2192 2234 3151 3288 3351 4468 6302 6576 6702 8936 9453 12604 13404 17872 18906 25208 25691 26808 37812 50416 51382 53616 75624 77073 102764 151248 153029 154146 205528 306058 308292 411056 459087 612116 616584 918174 1224232 1233168 1836348 2448464 3519667 3672696 7039334 7345392 10559001 14078668 21118002 28157336 42236004 56314672 84472008 168944016