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378599012416 = 26769132
BaseRepresentation
bin1011000001001100100…
…00100111100001000000
31100012020012211120002001
411200212100213201000
522200332321344131
6445532002433344
736232015336132
oct5404620474100
91305205746061
10378599012416
111366212aa6a9
1261460062854
132991792a591
1414477bcd052
159cacb90261
hex5826427840

378599012416 has 21 divisors (see below), whose sum is σ = 751292183341. Its totient is φ = 189297044992.

The previous prime is 378599012399. The next prime is 378599012459. The reversal of 378599012416 is 614210995873.

It is a happy number.

The square root of 378599012416 is 615304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 241473960000 + 137125052416 = 491400^2 + 370304^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 4883976 + ... + 4960888.

It is a 1-persistent number, because it is pandigital, but 2⋅378599012416 = 757198024832 is not.

Almost surely, 2378599012416 is an apocalyptic number.

378599012416 is the 615304-th square number.

It is an amenable number.

378599012416 is a deficient number, since it is larger than the sum of its proper divisors (372693170925).

378599012416 is an frugal number, since it uses more digits than its factorization.

378599012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153838 (or 76915 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 378599012416 in words is "three hundred seventy-eight billion, five hundred ninety-nine million, twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 76913 153826 307652 615304 1230608 2461216 4922432 5915609569 11831219138 23662438276 47324876552 94649753104 189299506208 378599012416