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161138656 = 257353277
BaseRepresentation
bin10011001101011…
…00011111100000
3102020012200200101
421212230133200
5312222414111
623553432144
73664441000
oct1146543740
9366180611
10161138656
1182a5a948
1245b6b654
13274cbb23
1417588000
15e22ebc1
hex99ac7e0

161138656 has 96 divisors (see below), whose sum is σ = 378302400. Its totient is φ = 67511808.

The previous prime is 161138633. The next prime is 161138671. The reversal of 161138656 is 656831161.

161138656 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 15 ways as a sum of consecutive naturals, for example, 581590 + ... + 581866.

It is an arithmetic number, because the mean of its divisors is an integer number (3940650).

Almost surely, 2161138656 is an apocalyptic number.

161138656 is a gapful number since it is divisible by the number (16) 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 161138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189151200).

161138656 is an abundant number, since it is smaller than the sum of its proper divisors (217163744).

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

161138656 is an equidigital number, since it uses as much as digits as its factorization.

161138656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 339 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 161138656 is about 12694.0401763977. The cubic root of 161138656 is about 544.1683086481.

The spelling of 161138656 in words is "one hundred sixty-one million, one hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 277 343 371 392 424 554 686 742 784 848 1108 1372 1484 1568 1696 1939 2216 2597 2744 2968 3878 4432 5194 5488 5936 7756 8864 10388 10976 11872 13573 14681 15512 18179 20776 27146 29362 31024 36358 41552 54292 58724 62048 72716 83104 95011 102767 108584 117448 145432 190022 205534 217168 234896 290864 380044 411068 434336 469792 581728 719369 760088 822136 1438738 1520176 1644272 2877476 3040352 3288544 5035583 5754952 10071166 11509904 20142332 23019808 40284664 80569328 161138656