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379074444470973 = 3242119382718997
BaseRepresentation
bin101011000110001000010010…
…1100110110010101010111101
31211201012011101210210010212200
41112030100211212302222331
5344141223430241032343
63422120221245422113
7142563140054455356
oct12614204546625275
91751164353703780
10379074444470973
11aa86a6294a9649
123662320056a939
131336974a149714
14698742dd6cd2d
152dc58e24124d3
hex158c4259b2abd

379074444470973 has 6 divisors (see below), whose sum is σ = 547551975346974. Its totient is φ = 252716296313976.

The previous prime is 379074444470951. The next prime is 379074444470983.

379074444470973 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 7 + 44 + 44 + 470 + 9 + 73 = 666.

379074444470973 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 378035965263609 + 1038479207364 = 19443147^2 + 1019058^2 .

It is not a de Polignac number, because 379074444470973 - 25 = 379074444470941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379074444470933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21059691359490 + ... + 21059691359507.

It is an arithmetic number, because the mean of its divisors is an integer number (91258662557829).

Almost surely, 2379074444470973 is an apocalyptic number.

It is an amenable number.

379074444470973 is a deficient number, since it is larger than the sum of its proper divisors (168477530876001).

379074444470973 is a wasteful number, since it uses less digits than its factorization.

379074444470973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42119382719003 (or 42119382719000 counting only the distinct ones).

The product of its (nonzero) digits is 1792336896, while the sum is 72.

The spelling of 379074444470973 in words is "three hundred seventy-nine trillion, seventy-four billion, four hundred forty-four million, four hundred seventy thousand, nine hundred seventy-three".

Divisors: 1 3 9 42119382718997 126358148156991 379074444470973