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378813357441 = 32172475904297
BaseRepresentation
bin1011000001100110000…
…10010001110110000001
31100012210011011102011200
411200303002101312001
522201302204414231
6450005140531413
736240230260551
oct5406302216601
91305704142150
10378813357441
111367212a0252
12614bb9b0b69
132995016805c
1414498467161
159cc18cebe6
hex5833091d81

378813357441 has 12 divisors (see below), whose sum is σ = 579361605732. Its totient is φ = 237686812416.

The previous prime is 378813357431. The next prime is 378813357469. The reversal of 378813357441 is 144753318873.

378813357441 is a `hidden beast` number, since 3 + 78 + 81 + 3 + 3 + 57 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 257642532225 + 121170825216 = 507585^2 + 348096^2 .

It is not a de Polignac number, because 378813357441 - 213 = 378813349249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378813357431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1237951996 + ... + 1237952301.

It is an arithmetic number, because the mean of its divisors is an integer number (48280133811).

Almost surely, 2378813357441 is an apocalyptic number.

It is an amenable number.

378813357441 is a deficient number, since it is larger than the sum of its proper divisors (200548248291).

378813357441 is a wasteful number, since it uses less digits than its factorization.

378813357441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475904320 (or 2475904317 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 378813357441 in words is "three hundred seventy-eight billion, eight hundred thirteen million, three hundred fifty-seven thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 2475904297 7427712891 22283138673 42090373049 126271119147 378813357441