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380914704768 = 27313127600827
BaseRepresentation
bin1011000101100000100…
…10010010000110000000
31100102012121012220210110
411202300102102012000
522220103131023033
6450553444031320
736343264365603
oct5426022220600
91312177186713
10380914704768
111375aa469634
12619a7692540
1329bc6608240
141461758433a
159d96111363
hex58b0492180

380914704768 has 128 divisors (see below), whose sum is σ = 1098217451520. Its totient is φ = 116281460736.

The previous prime is 380914704749. The next prime is 380914704811. The reversal of 380914704768 is 867407419083.

It is a tau number, because it is divible by the number of its divisors (128).

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, 333571 + ... + 934397.

It is an arithmetic number, because the mean of its divisors is an integer number (8579823840).

Almost surely, 2380914704768 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 380914704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549108725760).

380914704768 is an abundant number, since it is smaller than the sum of its proper divisors (717302746752).

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

380914704768 is a wasteful number, since it uses less digits than its factorization.

380914704768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600984 (or 600972 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 380914704768 in words is "three hundred eighty billion, nine hundred fourteen million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 312 381 384 416 508 624 762 832 1016 1248 1524 1651 1664 2032 2496 3048 3302 4064 4953 4992 6096 6604 8128 9906 12192 13208 16256 19812 24384 26416 39624 48768 52832 79248 105664 158496 211328 316992 600827 633984 1201654 1802481 2403308 3604962 4806616 7209924 7810751 9613232 14419848 15621502 19226464 23432253 28839696 31243004 38452928 46864506 57679392 62486008 76305029 76905856 93729012 115358784 124972016 152610058 187458024 228915087 230717568 249944032 305220116 374916048 457830174 499888064 610440232 749832096 915660348 991965377 999776128 1220880464 1499664192 1831320696 1983930754 2441760928 2975896131 2999328384 3662641392 3967861508 4883521856 5951792262 7325282784 7935723016 9767043712 11903584524 14650565568 15871446032 23807169048 29301131136 31742892064 47614338096 63485784128 95228676192 126971568256 190457352384 380914704768