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162021123342 = 2361310779889
BaseRepresentation
bin1001011011100100110…
…1100010010100001110
3120111012112022212000000
42112321031202110032
510123304401421332
6202233110545130
714464014553041
oct2267115422416
9514175285000
10162021123342
1162792778031
12274986681a6
1312380bcb7b0
147bb010ac58
154334123b7c
hex25b936250e

162021123342 has 112 divisors (see below), whose sum is σ = 396082476720. Its totient is φ = 49386122496.

The previous prime is 162021123293. The next prime is 162021123353. The reversal of 162021123342 is 243321120261.

162021123342 is a `hidden beast` number, since 1 + 6 + 202 + 112 + 3 + 342 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1988134 + ... + 2068022.

It is an arithmetic number, because the mean of its divisors is an integer number (3536450685).

Almost surely, 2162021123342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162021123342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198041238360).

162021123342 is an abundant number, since it is smaller than the sum of its proper divisors (234061353378).

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

162021123342 is a wasteful number, since it uses less digits than its factorization.

162021123342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80029 (or 80014 counting only the distinct ones).

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

The spelling of 162021123342 in words is "one hundred sixty-two billion, twenty-one million, one hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 107 117 162 214 234 243 321 351 486 642 702 729 963 1053 1391 1458 1926 2106 2782 2889 3159 4173 5778 6318 8346 8667 9477 12519 17334 18954 25038 26001 37557 52002 75114 78003 79889 112671 156006 159778 225342 239667 338013 479334 676026 719001 1014039 1038557 1438002 2028078 2077114 2157003 3115671 4314006 6231342 6471009 8548123 9347013 12942018 17096246 18694026 19413027 25644369 28041039 38826054 51288738 56082078 58239081 76933107 84123117 111125599 116478162 153866214 168246234 222251198 230799321 252369351 333376797 461598642 504738702 666753594 692397963 757108053 1000130391 1384795926 1514216106 2000260782 2077193889 3000391173 4154387778 6000782346 6231581667 9001173519 12463163334 18002347038 27003520557 54007041114 81010561671 162021123342