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164644664340 = 223513653323251
BaseRepresentation
bin1001100101010110010…
…1100011010000010100
3120201222100222112200010
42121111211203100110
510144143013224330
6203345310320220
714616022361442
oct2312545432024
9521870875603
10164644664340
1163909691232
1227aab1b9070
13126ab5c4810
147d7c719b92
1544396043b0
hex2655963414

164644664340 has 96 divisors (see below), whose sum is σ = 497228812416. Its totient is φ = 40465728000.

The previous prime is 164644664339. The next prime is 164644664347. The reversal of 164644664340 is 43466446461.

It is a super-3 number, since 3×1646446643403 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164644664340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164644664347) 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, 347715 + ... + 670965.

It is an arithmetic number, because the mean of its divisors is an integer number (5179466796).

Almost surely, 2164644664340 is an apocalyptic number.

164644664340 is a gapful number since it is divisible by the number (10) 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 164644664340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248614406208).

164644664340 is an abundant number, since it is smaller than the sum of its proper divisors (332584148076).

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

164644664340 is a wasteful number, since it uses less digits than its factorization.

164644664340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323929 (or 323927 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 164644664340 in words is "one hundred sixty-four billion, six hundred forty-four million, six hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 653 780 1306 1959 2612 3265 3918 6530 7836 8489 9795 13060 16978 19590 25467 33956 39180 42445 50934 84890 101868 127335 169780 254670 323251 509340 646502 969753 1293004 1616255 1939506 3232510 3879012 4202263 4848765 6465020 8404526 9697530 12606789 16809052 19395060 21011315 25213578 42022630 50427156 63033945 84045260 126067890 211082903 252135780 422165806 633248709 844331612 1055414515 1266497418 2110829030 2532994836 2744077739 3166243545 4221658060 5488155478 6332487090 8232233217 10976310956 12664974180 13720388695 16464466434 27440777390 32928932868 41161166085 54881554780 82322332170 164644664340