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378068962752 = 26331331283211
BaseRepresentation
bin1011000000001101010…
…10101000110111000000
31100010212021110020122000
411200012222220313000
522143241123302002
6445403225544000
736212621105625
oct5400652506700
91303767406560
10378068962752
1113637a089528
1261332645000
1329861b83a20
141442765434c
159c7b38d61c
hex5806aa8dc0

378068962752 has 672 divisors, whose sum is σ = 1257639425280. Its totient is φ = 110692915200.

The previous prime is 378068962741. The next prime is 378068962813. The reversal of 378068962752 is 257269860873.

It is a super-2 number, since 2×3780689627522 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 378068962752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1791795927 + ... + 1791796137.

It is an arithmetic number, because the mean of its divisors is an integer number (1871487240).

Almost surely, 2378068962752 is an apocalyptic number.

378068962752 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 378068962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628819712640).

378068962752 is an abundant number, since it is smaller than the sum of its proper divisors (879570462528).

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

378068962752 is a wasteful number, since it uses less digits than its factorization.

378068962752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 378068962752 in words is "three hundred seventy-eight billion, sixty-eight million, nine hundred sixty-two thousand, seven hundred fifty-two".