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165663813952 = 2671389319607
BaseRepresentation
bin1001101001001001010…
…1010011000101000000
3120211121101200201010001
42122102111103011000
510203234414021302
6204034354245344
714653206120220
oct2322225230500
9524541621101
10165663813952
11642919a443a
1228134586854
13128117a8020
148037c10080
154498d19787
hex2692553140

165663813952 has 112 divisors (see below), whose sum is σ = 409149377280. Its totient is φ = 64800755712.

The previous prime is 165663813947. The next prime is 165663813979. The reversal of 165663813952 is 259318366561.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 165663813893 and 165663813902.

It is a congruent number.

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, 358533 + ... + 678139.

It is an arithmetic number, because the mean of its divisors is an integer number (3653119440).

Almost surely, 2165663813952 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 165663813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204574688640).

165663813952 is an abundant number, since it is smaller than the sum of its proper divisors (243485563328).

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

165663813952 is a wasteful number, since it uses less digits than its factorization.

165663813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319728 (or 319718 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 55.

The spelling of 165663813952 in words is "one hundred sixty-five billion, six hundred sixty-three million, eight hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 89 91 104 112 178 182 208 224 356 364 416 448 623 712 728 832 1157 1246 1424 1456 2314 2492 2848 2912 4628 4984 5696 5824 8099 9256 9968 16198 18512 19936 32396 37024 39872 64792 74048 129584 259168 319607 518336 639214 1278428 2237249 2556856 4154891 4474498 5113712 8309782 8948996 10227424 16619564 17897992 20454848 28445023 29084237 33239128 35795984 56890046 58168474 66478256 71591968 113780092 116336948 132956512 143183936 199115161 227560184 232673896 265913024 369785299 398230322 455120368 465347792 739570598 796460644 910240736 930695584 1479141196 1592921288 1820481472 1861391168 2588497093 2958282392 3185842576 5176994186 5916564784 6371685152 10353988372 11833129568 12743370304 20707976744 23666259136 41415953488 82831906976 165663813952