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163113444 = 2232133111243
BaseRepresentation
bin10011011100011…
…10100111100100
3102100221000120200
421232032213210
5313224112234
624104030500
74020304254
oct1156164744
9370830520
10163113444
11840895aa
1246762430
1327a40940
141793d964
15e4bed99
hex9b8e9e4

163113444 has 72 divisors (see below), whose sum is σ = 458395392. Its totient is φ = 48565440.

The previous prime is 163113421. The next prime is 163113473. The reversal of 163113444 is 444311361.

163113444 is a `hidden beast` number, since 1 + 6 + 311 + 344 + 4 = 666.

It is a super-2 number, since 2×1631134442 = 53211991227082272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8887 + ... + 20129.

Almost surely, 2163113444 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 163113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229197696).

163113444 is an abundant number, since it is smaller than the sum of its proper divisors (295281948).

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

163113444 is a wasteful number, since it uses less digits than its factorization.

163113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11297 (or 11292 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 163113444 is about 12771.5873719753. The cubic root of 163113444 is about 546.3822545608.

The spelling of 163113444 in words is "one hundred sixty-three million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 11243 14508 22486 33729 44972 67458 101187 134916 146159 202374 292318 348533 404748 438477 584636 697066 876954 1045599 1315431 1394132 1753908 2091198 2630862 3136797 4182396 4530929 5261724 6273594 9061858 12547188 13592787 18123716 27185574 40778361 54371148 81556722 163113444