Search a number
-
+
164621366016 = 2838325110289
BaseRepresentation
bin1001100101010000110…
…0101011001100000000
3120201220202010212101020
42121110030223030000
510144121032203031
6203343115105440
714615320344342
oct2312414531400
9521822125336
10164621366016
11638a7518918
1227aa3442280
13126a6828023
147d795b3292
154437551096
hex265432b300

164621366016 has 144 divisors (see below), whose sum is σ = 445221463680. Its totient is φ = 53991424000.

The previous prime is 164621366009. The next prime is 164621366047. The reversal of 164621366016 is 610663126461.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15994600 + ... + 16004888.

It is an arithmetic number, because the mean of its divisors is an integer number (3091815720).

Almost surely, 2164621366016 is an apocalyptic number.

164621366016 is a gapful number since it is divisible by the number (16) 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 164621366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222610731840).

164621366016 is an abundant number, since it is smaller than the sum of its proper divisors (280600097664).

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

164621366016 is a wasteful number, since it uses less digits than its factorization.

164621366016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10642 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 164621366016 in words is "one hundred sixty-four billion, six hundred twenty-one million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 251 256 332 384 498 502 664 753 768 996 1004 1328 1506 1992 2008 2656 3012 3984 4016 5312 6024 7968 8032 10289 10624 12048 15936 16064 20578 20833 21248 24096 30867 31872 32128 41156 41666 48192 61734 62499 63744 64256 82312 83332 96384 123468 124998 164624 166664 192768 246936 249996 329248 333328 493872 499992 658496 666656 853987 987744 999984 1316992 1333312 1707974 1975488 1999968 2561961 2582539 2633984 2666624 3415948 3950976 3999936 5123922 5165078 5333248 6831896 7747617 7901952 7999872 10247844 10330156 13663792 15495234 15999744 20495688 20660312 27327584 30990468 40991376 41320624 54655168 61980936 81982752 82641248 109310336 123961872 163965504 165282496 214350737 218620672 247923744 327931008 330564992 428701474 495847488 643052211 655862016 661129984 857402948 991694976 1286104422 1714805896 1983389952 2572208844 3429611792 5144417688 6859223584 10288835376 13718447168 20577670752 27436894336 41155341504 54873788672 82310683008 164621366016