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163233144216 = 233313135916069
BaseRepresentation
bin1001100000000101110…
…1000001110110011000
3120121022222221220002000
42120001131001312120
510133300141103331
6202553244441000
714536032555432
oct2300135016630
9517288856060
10163233144216
116325494427a
1227776549160
13125150415cc
147c87089652
1543a57360e6
hex2601741d98

163233144216 has 128 divisors (see below), whose sum is σ = 458187840000. Its totient is φ = 53841939840.

The previous prime is 163233144157. The next prime is 163233144227. The reversal of 163233144216 is 612441332361.

163233144216 is a `hidden beast` number, since 1 + 6 + 323 + 314 + 4 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10150230 + ... + 10166298.

It is an arithmetic number, because the mean of its divisors is an integer number (3579592500).

Almost surely, 2163233144216 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 163233144216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229093920000).

163233144216 is an abundant number, since it is smaller than the sum of its proper divisors (294954695784).

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

163233144216 is a wasteful number, since it uses less digits than its factorization.

163233144216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16564 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 163233144216 its reverse (612441332361), we get a palindrome (775674476577).

The spelling of 163233144216 in words is "one hundred sixty-three billion, two hundred thirty-three million, one hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 359 393 524 718 786 1048 1077 1179 1436 1572 2154 2358 2872 3144 3231 3537 4308 4716 6462 7074 8616 9432 9693 12924 14148 16069 19386 25848 28296 32138 38772 47029 48207 64276 77544 94058 96414 128552 141087 144621 188116 192828 282174 289242 376232 385656 423261 433863 564348 578484 846522 867726 1128696 1156968 1269783 1693044 1735452 2105039 2539566 3386088 3470904 4210078 5079132 5768771 6315117 8420156 10158264 11537542 12630234 16840312 17306313 18945351 23075084 25260468 34612626 37890702 46150168 50520936 51918939 56836053 69225252 75781404 103837878 113672106 138450504 151562808 155756817 207675756 227344212 311513634 415351512 454688424 623027268 755709001 1246054536 1511418002 2267127003 3022836004 4534254006 6045672008 6801381009 9068508012 13602762018 18137016024 20404143027 27205524036 40808286054 54411048072 81616572108 163233144216