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378389636352 = 28347131931039
BaseRepresentation
bin1011000000110011100…
…01111010010100000000
31100011200121212011010000
411200121301322110000
522144420221330402
6445455123040000
736223563561240
oct5403161722400
91304617764100
10378389636352
111365240a3332
1261401b10000
13298b343c710
1414458089b20
159c995d2c1c
hex5819c7a500

378389636352 has 720 divisors, whose sum is σ = 1397202526720. Its totient is φ = 99182444544.

The previous prime is 378389636347. The next prime is 378389636381. The reversal of 378389636352 is 253636983873.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (117573120) is a multiple of the sum of its prime factors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 378389636352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 364185849 + ... + 364186887.

Almost surely, 2378389636352 is an apocalyptic number.

378389636352 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 378389636352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698601263360).

378389636352 is an abundant number, since it is smaller than the sum of its proper divisors (1018812890368).

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

378389636352 is a wasteful number, since it uses less digits than its factorization.

378389636352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1257 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 378389636352 in words is "three hundred seventy-eight billion, three hundred eighty-nine million, six hundred thirty-six thousand, three hundred fifty-two".