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378676743872 = 2674353370891
BaseRepresentation
bin1011000001010101110…
…01001000111011000000
31100012102122002201120212
411200222321020323000
522201012221300442
6445543420453252
736233651133350
oct5405271107300
91305378081525
10378676743872
11136661171479
12614820aa228
132992aa7521b
1414484264b60
159cb48e6a82
hex582ae48ec0

378676743872 has 112 divisors (see below), whose sum is σ = 895339222272. Its totient is φ = 155524561920.

The previous prime is 378676743857. The next prime is 378676743901. The reversal of 378676743872 is 278347676873.

It is a tau number, because it is divible by the number of its divisors (112).

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, 835547 + ... + 1206437.

Almost surely, 2378676743872 is an apocalyptic number.

378676743872 is a gapful number since it is divisible by the number (32) 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 378676743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447669611136).

378676743872 is an abundant number, since it is smaller than the sum of its proper divisors (516662478400).

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

378676743872 is a wasteful number, since it uses less digits than its factorization.

378676743872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371006 (or 370996 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 68.

The spelling of 378676743872 in words is "three hundred seventy-eight billion, six hundred seventy-six million, seven hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 53 56 64 86 106 112 172 212 224 301 344 371 424 448 602 688 742 848 1204 1376 1484 1696 2279 2408 2752 2968 3392 4558 4816 5936 9116 9632 11872 15953 18232 19264 23744 31906 36464 63812 72928 127624 145856 255248 370891 510496 741782 1020992 1483564 2596237 2967128 5192474 5934256 10384948 11868512 15948313 19657223 20769896 23737024 31896626 39314446 41539792 63793252 78628892 83079584 111638191 127586504 137600561 157257784 166159168 223276382 255173008 275201122 314515568 446552764 510346016 550402244 629031136 845260589 893105528 1020692032 1100804488 1258062272 1690521178 1786211056 2201608976 3381042356 3572422112 4403217952 5916824123 6762084712 7144844224 8806435904 11833648246 13524169424 23667296492 27048338848 47334592984 54096677696 94669185968 189338371936 378676743872