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201606004410 = 235173743924337
BaseRepresentation
bin1011101111000010100…
…1110111111010111010
3201021101021021011101020
42323300221313322322
511300342114120120
6232341100203310
720364661522416
oct2736051677272
9637337234336
10201606004410
1178556374078
12330a5539536
131601bc77c45
149a874d9d46
15539e45c640
hex2ef0a77eba

201606004410 has 128 divisors (see below), whose sum is σ = 527383042560. Its totient is φ = 49117446144.

The previous prime is 201606004387. The next prime is 201606004417. The reversal of 201606004410 is 14400606102.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (201606004417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8271762 + ... + 8296098.

It is an arithmetic number, because the mean of its divisors is an integer number (4120180020).

Almost surely, 2201606004410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201606004410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263691521280).

201606004410 is an abundant number, since it is smaller than the sum of its proper divisors (325777038150).

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

201606004410 is a wasteful number, since it uses less digits than its factorization.

201606004410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24840.

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 201606004410 in words is "two hundred one billion, six hundred six million, four thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 370 439 510 555 629 878 1110 1258 1317 1887 2195 2634 3145 3774 4390 6290 6585 7463 9435 13170 14926 16243 18870 22389 24337 32486 37315 44778 48674 48729 73011 74630 81215 97458 111945 121685 146022 162430 223890 243370 243645 276131 365055 413729 487290 552262 730110 827458 828393 900469 1241187 1380655 1656786 1800938 2068645 2482374 2701407 2761310 4137290 4141965 4502345 5402814 6205935 8283930 9004690 10683943 12411870 13507035 15307973 21367886 27014070 30615946 32051829 45923919 53419715 64103658 76539865 91847838 106839430 153079730 160259145 181627031 229619595 320518290 363254062 395305891 459239190 544881093 790611782 908135155 1089762186 1185917673 1816270310 1976529455 2371835346 2724405465 3953058910 5448810930 5929588365 6720200147 11859176730 13440400294 20160600441 33601000735 40321200882 67202001470 100803002205 201606004410