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164156741112 = 233713593126751
BaseRepresentation
bin1001100011100010000…
…0010001010111111000
3120200201100212110211110
42120320200101113320
510142143111203422
6203225040400320
714600646163650
oct2307040212770
9520640773743
10164156741112
11636892232a1
12279939160a0
13126314aa650
147d339c9360
15440b87460c
hex26388115f8

164156741112 has 128 divisors (see below), whose sum is σ = 505953423360. Its totient is φ = 43220736000.

The previous prime is 164156741087. The next prime is 164156741117. The reversal of 164156741112 is 211147651461.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164156741117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231737 + ... + 1358487.

It is an arithmetic number, because the mean of its divisors is an integer number (3952761120).

Almost surely, 2164156741112 is an apocalyptic number.

164156741112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164156741112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252976711680).

164156741112 is an abundant number, since it is smaller than the sum of its proper divisors (341796682248).

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

164156741112 is a wasteful number, since it uses less digits than its factorization.

164156741112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127373 (or 127369 counting only the distinct ones).

The product of its digits is 40320, while the sum is 39.

The spelling of 164156741112 in words is "one hundred sixty-four billion, one hundred fifty-six million, seven hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 593 728 1092 1186 1779 2184 2372 3558 4151 4744 7116 7709 8302 12453 14232 15418 16604 23127 24906 30836 33208 46254 49812 53963 61672 92508 99624 107926 126751 161889 185016 215852 253502 323778 380253 431704 507004 647556 760506 887257 1014008 1295112 1521012 1647763 1774514 2661771 3042024 3295526 3549028 4943289 5323542 6591052 7098056 9886578 10647084 11534341 13182104 19773156 21294168 23068682 34603023 39546312 46137364 69206046 75163343 92274728 138412092 150326686 225490029 276824184 300653372 450980058 526143401 601306744 901960116 977123459 1052286802 1578430203 1803920232 1954246918 2104573604 2931370377 3156860406 3908493836 4209147208 5862740754 6313720812 6839864213 7816987672 11725481508 12627441624 13679728426 20519592639 23450963016 27359456852 41039185278 54718913704 82078370556 164156741112