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162121830468 = 2231321571673049
BaseRepresentation
bin1001011011111100110…
…1101101000001000100
3120111110112211022012120
42112333031231001010
510124011142033333
6202251105245540
714466346551603
oct2267715550104
9514415738176
10162121830468
1162834601864
12275063338b0
1312398a2c100
147bbd643a3a
15433cdb7db3
hex25bf36d044

162121830468 has 144 divisors (see below), whose sum is σ = 414834940800. Its totient is φ = 49252948992.

The previous prime is 162121830419. The next prime is 162121830511. The reversal of 162121830468 is 864038121261.

It is a happy number.

162121830468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 53170608 + ... + 53173656.

It is an arithmetic number, because the mean of its divisors is an integer number (2880798200).

Almost surely, 2162121830468 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 162121830468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207417470400).

162121830468 is an abundant number, since it is smaller than the sum of its proper divisors (252713110332).

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

162121830468 is a wasteful number, since it uses less digits than its factorization.

162121830468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 162121830468 in words is "one hundred sixty-two billion, one hundred twenty-one million, eight hundred thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 167 169 314 334 338 471 501 507 628 668 676 942 1002 1014 1884 2004 2028 2041 2171 3049 4082 4342 6098 6123 6513 8164 8684 9147 12196 12246 13026 18294 24492 26052 26219 26533 28223 36588 39637 52438 53066 56446 78657 79274 79599 84669 104876 106132 112892 118911 157314 158548 159198 169338 237822 314628 318396 338676 340847 475644 478693 509183 515281 681694 957386 1018366 1022541 1030562 1363388 1436079 1527549 1545843 1914772 2036732 2045082 2061124 2872158 3055098 3091686 4090164 4431011 5744316 6110196 6183372 6223009 6619379 8862022 12446018 13238758 13293033 17724044 18669027 19858137 24892036 26477516 26586066 37338054 39716274 53172132 74676108 79432548 79941731 80899117 86051927 159883462 161798234 172103854 239825193 242697351 258155781 319766924 323596468 344207708 479650386 485394702 516311562 959300772 970789404 1032623124 1039242503 2078485006 3117727509 4156970012 6235455018 12470910036 13510152539 27020305078 40530457617 54040610156 81060915234 162121830468