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161033656 = 23717475961
BaseRepresentation
bin10011001100100…
…10110110111000
3102020000100122111
421212102312320
5312211034111
623551302104
73663522610
oct1146226670
9366010574
10161033656
1182998a73
1245b1a934
13274930b4
141755ba40
15e20da21
hex9992db8

161033656 has 128 divisors (see below), whose sum is σ = 385689600. Its totient is φ = 61470720.

The previous prime is 161033647. The next prime is 161033669. The reversal of 161033656 is 656330161.

161033656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2639866 + ... + 2639926.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 2161033656 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 161033656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

161033656 is an abundant number, since it is smaller than the sum of its proper divisors (224655944).

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

161033656 is a wasteful number, since it uses less digits than its factorization.

161033656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 161033656 is about 12689.9037033383. The cubic root of 161033656 is about 544.0500873000.

The spelling of 161033656 in words is "one hundred sixty-one million, thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 59 61 68 94 118 119 122 136 188 236 238 244 329 376 413 427 472 476 488 658 799 826 854 952 1003 1037 1316 1598 1652 1708 2006 2074 2632 2773 2867 3196 3304 3416 3599 4012 4148 5546 5593 5734 6392 7021 7198 7259 8024 8296 11092 11186 11468 14042 14396 14518 19411 20069 22184 22372 22936 25193 28084 28792 29036 38822 40138 44744 47141 48739 50386 56168 58072 61183 77644 80276 94282 97478 100772 122366 155288 160552 169153 188564 194956 201544 244732 329987 338306 341173 377128 389912 428281 489464 659974 676612 682346 856562 1184071 1319948 1353224 1364692 1713124 2368142 2639896 2729384 2875601 3426248 4736284 5751202 9472568 11502404 20129207 23004808 40258414 80516828 161033656