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163011968 = 277434231
BaseRepresentation
bin10011011011101…
…01110110000000
3102100201212101022
421231311312000
5313212340333
624101525012
74016402360
oct1155656600
9370655338
10163011968
118401a339
1246713768
1327a066b2
14179149a0
15e49ec98
hex9b75d80

163011968 has 64 divisors (see below), whose sum is σ = 379864320. Its totient is φ = 68221440.

The previous prime is 163011931. The next prime is 163011977. The reversal of 163011968 is 869110361.

163011968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1630119682 = 53145803422466048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36413 + ... + 40643.

It is an arithmetic number, because the mean of its divisors is an integer number (5935380).

Almost surely, 2163011968 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 163011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189932160).

163011968 is an abundant number, since it is smaller than the sum of its proper divisors (216852352).

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

163011968 is an equidigital number, since it uses as much as digits as its factorization.

163011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 163011968 is about 12767.6140292539. The cubic root of 163011968 is about 546.2689260985.

The spelling of 163011968 in words is "one hundred sixty-three million, eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 301 344 448 602 688 896 1204 1376 2408 2752 4231 4816 5504 8462 9632 16924 19264 29617 33848 38528 59234 67696 118468 135392 181933 236936 270784 363866 473872 541568 727732 947744 1273531 1455464 1895488 2547062 2910928 3790976 5094124 5821856 10188248 11643712 20376496 23287424 40752992 81505984 163011968