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379019315168 = 25136716218389
BaseRepresentation
bin1011000001111110100…
…11111100011111100000
31100020022111201011001122
411200333103330133200
522202212421041133
6450041415151412
736245311010444
oct5407723743740
91306274634048
10379019315168
1113681758234a
1261558975568
1329983a2a030
14144b795a824
159cd4a14498
hex583f4fc7e0

379019315168 has 96 divisors (see below), whose sum is σ = 816188194080. Its totient is φ = 172194232320.

The previous prime is 379019315141. The next prime is 379019315177. The reversal of 379019315168 is 861513910973.

It is a congruent number.

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, 45176318 + ... + 45184706.

It is an arithmetic number, because the mean of its divisors is an integer number (8501960355).

Almost surely, 2379019315168 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 379019315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408094097040).

379019315168 is an abundant number, since it is smaller than the sum of its proper divisors (437168878912).

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

379019315168 is a wasteful number, since it uses less digits than its factorization.

379019315168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100 (or 10092 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 53.

The spelling of 379019315168 in words is "three hundred seventy-nine billion, nineteen million, three hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 67 104 134 208 268 416 536 871 1072 1621 1742 2144 3242 3484 6484 6968 8389 12968 13936 16778 21073 25936 27872 33556 42146 51872 67112 84292 108607 109057 134224 168584 217214 218114 268448 337168 434428 436228 562063 674336 868856 872456 1124126 1411891 1737712 1744912 2248252 2823782 3475424 3489824 4496504 5647564 7306819 8993008 11295128 13598569 14613638 17986016 22590256 27197138 29227276 45180512 54394276 58454552 108788552 116909104 176781397 217577104 233818208 353562794 435154208 707125588 911104123 1414251176 1822208246 2828502352 3644416492 5657004704 7288832984 11844353599 14577665968 23688707198 29155331936 47377414396 94754828792 189509657584 379019315168