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378389590768 = 24719747935803
BaseRepresentation
bin1011000000110011100…
…01101111001011110000
31100011200121202211120201
411200121301233023300
522144420213401033
6445455122044544
736223563311320
oct5403161571360
91304617684521
10378389590768
11136524072062
1261401aa9754
13298b3424a47
1414458077280
159c995c447d
hex5819c6f2f0

378389590768 has 80 divisors (see below), whose sum is σ = 843897415680. Its totient is φ = 161002453248.

The previous prime is 378389590763. The next prime is 378389590783. The reversal of 378389590768 is 867095983873.

It is a self number, because there is not a number n which added to its sum of digits gives 378389590768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378389590763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10550755 + ... + 10586557.

It is an arithmetic number, because the mean of its divisors is an integer number (10548717696).

Almost surely, 2378389590768 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 378389590768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421948707840).

378389590768 is an abundant number, since it is smaller than the sum of its proper divisors (465507824912).

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

378389590768 is a wasteful number, since it uses less digits than its factorization.

378389590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36494 (or 36488 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 378389590768 in words is "three hundred seventy-eight billion, three hundred eighty-nine million, five hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 197 394 479 788 958 1379 1576 1916 2758 3152 3353 3832 5516 6706 7664 11032 13412 22064 26824 35803 53648 71606 94363 143212 188726 250621 286424 377452 501242 572848 660541 754904 1002484 1321082 1509808 2004968 2642164 4009936 5284328 7053191 10568656 14106382 17149637 28212764 34299274 49372337 56425528 68598548 98744674 112851056 120047459 137197096 197489348 240094918 274394192 394978696 480189836 789957392 960379672 1920759344 3378478489 6756956978 13513913956 23649349423 27027827912 47298698846 54055655824 94597397692 189194795384 378389590768