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245553117417 = 32376198211451
BaseRepresentation
bin1110010010110000011…
…0110011100011101001
3212110211000111211000100
43210230012303203221
513010343044224132
6304445555300013
723512015026336
oct3445406634351
9773730454010
10245553117417
1195158373583
123b70b2aa609
131a2039c271a
14bc55db198d
1565c271e37c
hex392c1b38e9

245553117417 has 48 divisors (see below), whose sum is σ = 365558656320. Its totient is φ = 158717232000.

The previous prime is 245553117379. The next prime is 245553117461. The reversal of 245553117417 is 714711355542.

245553117417 is a `hidden beast` number, since 2 + 4 + 5 + 553 + 11 + 74 + 17 = 666.

245553117417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 245553117417 - 211 = 245553115369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (245553117217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169229542 + ... + 169230992.

It is an arithmetic number, because the mean of its divisors is an integer number (7615805340).

Almost surely, 2245553117417 is an apocalyptic number.

It is an amenable number.

245553117417 is a deficient number, since it is larger than the sum of its proper divisors (120005538903).

245553117417 is a wasteful number, since it uses less digits than its factorization.

245553117417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2931 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 245553117417 in words is "two hundred forty-five billion, five hundred fifty-three million, one hundred seventeen thousand, four hundred seventeen".

Divisors: 1 3 9 37 111 333 619 821 1451 1857 2463 4353 5571 7389 13059 22903 30377 53687 68709 91131 161061 206127 273393 483183 508199 898169 1191271 1524597 2694507 3573813 4573791 8083521 10721439 18803363 33232253 44077027 56410089 99696759 132231081 169230267 299090277 396693243 737396749 2212190247 6636570741 27283679713 81851039139 245553117417