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382052653963 = 29431317273217
BaseRepresentation
bin1011000111101000001…
…11001101101110001011
31100112010220110201121221
411203310013031232023
522224420434411323
6451302414142511
736413422656001
oct5436407155613
91315126421557
10382052653963
11138033843712
12620647b1a37
132a0482b5166
14146c4760a71
159e10e9155d
hex58f41cdb8b

382052653963 has 32 divisors (see below), whose sum is σ = 408192744960. Its totient is φ = 356946670080.

The previous prime is 382052653907. The next prime is 382052653987. The reversal of 382052653963 is 369356250283.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 382052653963 - 225 = 382019099531 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 382052653963.

It is not an unprimeable number, because it can be changed into a prime (382052653063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118758931 + ... + 118762147.

It is an arithmetic number, because the mean of its divisors is an integer number (12756023280).

Almost surely, 2382052653963 is an apocalyptic number.

382052653963 is a deficient number, since it is larger than the sum of its proper divisors (26140090997).

382052653963 is a wasteful number, since it uses less digits than its factorization.

382052653963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4147.

The product of its (nonzero) digits is 6998400, while the sum is 52.

The spelling of 382052653963 in words is "three hundred eighty-two billion, fifty-two million, six hundred fifty-three thousand, nine hundred sixty-three".

Divisors: 1 29 43 131 727 1247 3217 3799 5633 21083 31261 93293 95237 138331 163357 421427 906569 2338759 2761873 4011599 4095191 12221383 18121361 67824011 100566637 118760539 306377429 525519469 2916432473 8884945441 13174229447 382052653963