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164914459499064 = 233117125343347167
BaseRepresentation
bin100101011111110100100011…
…110001101101101000111000
3210121220200001020021111012210
4211133310203301231220320
5133103424303112432224
61342424353511535120
746510451020604442
oct4537644361555070
9717820036244183
10164914459499064
1148601914092370
12165b563a98a4a0
13710349cb2c362
142ca1c8c399492
15140ec0bea5429
hex95fd23c6da38

164914459499064 has 128 divisors (see below), whose sum is σ = 456120761057280. Its totient is φ = 49268132323200.

The previous prime is 164914459499059. The next prime is 164914459499099. The reversal of 164914459499064 is 460994954419461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474855609 + ... + 475202775.

It is an arithmetic number, because the mean of its divisors is an integer number (3563443445760).

Almost surely, 2164914459499064 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 164914459499064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228060380528640).

164914459499064 is an abundant number, since it is smaller than the sum of its proper divisors (291206301558216).

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

164914459499064 is a wasteful number, since it uses less digits than its factorization.

164914459499064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372601 (or 372597 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 75.

The spelling of 164914459499064 in words is "one hundred sixty-four trillion, nine hundred fourteen billion, four hundred fifty-nine million, four hundred ninety-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 568 781 852 1562 1704 2343 3124 4686 6248 9372 18744 25343 50686 76029 101372 152058 202744 278773 304116 347167 557546 608232 694334 836319 1041501 1115092 1388668 1672638 1799353 2083002 2230184 2777336 3345276 3598706 3818837 4166004 5398059 6690552 7197412 7637674 8332008 10796118 11456511 14394824 15275348 19792883 21592236 22913022 24648857 30550696 39585766 43184472 45826044 49297714 59378649 73946571 79171532 91652088 98595428 118757298 147893142 158343064 197190856 237514596 271137427 295786284 475029192 542274854 591572568 813412281 1084549708 1626824562 2169099416 3253649124 6507298248 8798253281 17596506562 26394759843 35193013124 52789519686 70386026248 96780786091 105579039372 193561572182 211158078744 290342358273 387123144364 580684716546 624675982951 774246288728 1161369433092 1249351965902 1874027948853 2322738866184 2498703931804 3748055897706 4997407863608 6871435812461 7496111795412 13742871624922 14992223590824 20614307437383 27485743249844 41228614874766 54971486499688 82457229749532 164914459499064