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163125188848 = 24172961933409
BaseRepresentation
bin1001011111101100000…
…1001101100011110000
3120121001110211012011001
42113323001031203300
510133040022020343
6202534430531344
714533252140646
oct2277301154360
9517043735131
10163125188848
11631a9a09866
1227746366b54
13124c8873aab
147c769c7196
15439b00e44d
hex25fb04d8f0

163125188848 has 80 divisors (see below), whose sum is σ = 346755708000. Its totient is φ = 73995780096.

The previous prime is 163125188839. The next prime is 163125188857. The reversal of 163125188848 is 848881521361.

163125188848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163125188839) and next prime (163125188857).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4865968 + ... + 4899376.

It is an arithmetic number, because the mean of its divisors is an integer number (4334446350).

Almost surely, 2163125188848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163125188848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173377854000).

163125188848 is an abundant number, since it is smaller than the sum of its proper divisors (183630519152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163125188848 is a wasteful number, since it uses less digits than its factorization.

163125188848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34082 (or 34076 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 55.

The spelling of 163125188848 in words is "one hundred sixty-three billion, one hundred twenty-five million, one hundred eighty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 619 986 1238 1972 2476 3944 4952 7888 9904 10523 17951 21046 33409 35902 42092 66818 71804 84184 133636 143608 168368 267272 287216 305167 534544 567953 610334 968861 1135906 1220668 1937722 2271812 2441336 3875444 4543624 4882672 7750888 9087248 15501776 16470637 20680171 32941274 41360342 65882548 82720684 131765096 165441368 263530192 330882736 351562907 599724959 703125814 1199449918 1406251628 2398899836 2812503256 4797799672 5625006512 9595599344 10195324303 20390648606 40781297212 81562594424 163125188848