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378382135424 = 2717390744507
BaseRepresentation
bin1011000000110010101…
…01010011000010000000
31100011200002202001202212
411200121111103002000
522144411311313144
6445454254201252
736223443040526
oct5403125230200
91304602661685
10378382135424
1113651a93a817
12613bb4b3228
13298b1a144b7
1414457096316
159c98b0049e
hex5819553080

378382135424 has 64 divisors (see below), whose sum is σ = 798372041760. Its totient is φ = 178012606464.

The previous prime is 378382135423. The next prime is 378382135433. The reversal of 378382135424 is 424531283873.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (378382135423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8479379 + ... + 8523885.

Almost surely, 2378382135424 is an apocalyptic number.

378382135424 is a gapful number since it is divisible by the number (34) 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 378382135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399186020880).

378382135424 is an abundant number, since it is smaller than the sum of its proper divisors (419989906336).

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

378382135424 is a wasteful number, since it uses less digits than its factorization.

378382135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48445 (or 48433 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 50.

The spelling of 378382135424 in words is "three hundred seventy-eight billion, three hundred eighty-two million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 3907 7814 15628 31256 44507 62512 66419 89014 125024 132838 178028 250048 265676 356056 500096 531352 712112 756619 1062704 1424224 1513238 2125408 2848448 3026476 4250816 5696896 6052952 8501632 12105904 24211808 48423616 96847232 173888849 347777698 695555396 1391110792 2782221584 2956110433 5564443168 5912220866 11128886336 11824441732 22257772672 23648883464 47297766928 94595533856 189191067712 378382135424