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378776000790 = 233511127534007
BaseRepresentation
bin1011000001100001100…
…11110001100100010110
31100012200112212111111000
411200300303301210112
522201213124011130
6450001324124130
736236264612205
oct5406063614426
91305615774430
10378776000790
111367021a5690
12614ab396646
13299454b8725
141449350123c
159cbd4a1260
hex5830cf1916

378776000790 has 64 divisors (see below), whose sum is σ = 1101893829120. Its totient is φ = 91824484320.

The previous prime is 378776000783. The next prime is 378776000831. The reversal of 378776000790 is 97000677873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63764034 + ... + 63769973.

It is an arithmetic number, because the mean of its divisors is an integer number (17217091080).

Almost surely, 2378776000790 is an apocalyptic number.

378776000790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378776000790 is an abundant number, since it is smaller than the sum of its proper divisors (723117828330).

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

378776000790 is a wasteful number, since it uses less digits than its factorization.

378776000790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127534034 (or 127534028 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 378776000790 in words is "three hundred seventy-eight billion, seven hundred seventy-six million, seven hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 127534007 255068014 382602021 637670035 765204042 1147806063 1275340070 1402874077 1913010105 2295612126 2805748154 3443418189 3826020210 4208622231 5739030315 6886836378 7014370385 8417244462 11478060630 12625866693 14028740770 17217090945 21043111155 25251733386 34434181890 37877600079 42086222310 63129333465 75755200158 126258666930 189388000395 378776000790