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168442861825 = 52728910391487
BaseRepresentation
bin1001110011011111111…
…0100001100100000001
3121002210001221222010001
42130313332201210001
510224432333034300
6205214231040001
715112112462500
oct2346776414401
9532701858101
10168442861825
1165488671217
122878b210001
1312b6547a654
14821cd3c837
1545accb616a
hex2737fa1901

168442861825 has 72 divisors (see below), whose sum is σ = 246102105600. Its totient is φ = 114019234560.

The previous prime is 168442861789. The next prime is 168442861879. The reversal of 168442861825 is 528168244861.

It is a happy number.

168442861825 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 168442861825 - 219 = 168442337537 is a prime.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 113276232 + ... + 113277718.

It is an arithmetic number, because the mean of its divisors is an integer number (3418084800).

Almost surely, 2168442861825 is an apocalyptic number.

It is an amenable number.

168442861825 is a deficient number, since it is larger than the sum of its proper divisors (77659243775).

168442861825 is a wasteful number, since it uses less digits than its factorization.

168442861825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2627 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 55.

The spelling of 168442861825 in words is "one hundred sixty-eight billion, four hundred forty-two million, eight hundred sixty-one thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 89 175 245 445 623 1039 1225 1487 2225 3115 4361 5195 7273 7435 10409 15575 21805 25975 36365 37175 50911 52045 72863 92471 109025 132343 181825 254555 260225 364315 462355 647297 661715 926401 1272775 1544993 1821575 2311775 3236485 3308575 4531079 4632005 6484807 7724965 10814951 16182425 22655395 23160025 32424035 38624825 54074755 75704657 113276975 137504377 162120175 270373775 378523285 687521885 962530639 1892616425 3437609425 4812653195 6737714473 24063265975 33688572365 168442861825