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161813358 = 23273761569
BaseRepresentation
bin10011010010100…
…01001101101110
3102021110222012100
421221101031232
5312411011413
624020115530
74003251030
oct1151211556
9367428170
10161813358
1183380853
1246235ba6
13276a6c65
14176c1c50
15e314a73
hex9a5136e

161813358 has 96 divisors (see below), whose sum is σ = 418991040. Its totient is φ = 44167680.

The previous prime is 161813357. The next prime is 161813369. The reversal of 161813358 is 853318161.

161813358 is a `hidden beast` number, since 1 + 618 + 1 + 3 + 35 + 8 = 666.

161813358 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161813357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284098 + ... + 284666.

It is an arithmetic number, because the mean of its divisors is an integer number (4364490).

Almost surely, 2161813358 is an apocalyptic number.

161813358 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161813358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209495520).

161813358 is an abundant number, since it is smaller than the sum of its proper divisors (257177682).

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

161813358 is a wasteful number, since it uses less digits than its factorization.

161813358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 679 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 161813358 is about 12720.5879581095. The cubic root of 161813358 is about 544.9267449165.

The spelling of 161813358 in words is "one hundred sixty-one million, eight hundred thirteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 61 63 74 111 122 126 183 222 259 333 366 427 518 549 569 666 777 854 1098 1138 1281 1554 1707 2257 2331 2562 3414 3843 3983 4514 4662 5121 6771 7686 7966 10242 11949 13542 15799 20313 21053 23898 31598 34709 35847 40626 42106 47397 63159 69418 71694 94794 104127 126318 142191 147371 189477 208254 242963 284382 294742 312381 378954 442113 485926 624762 728889 884226 1284233 1326339 1457778 2186667 2568466 2652678 3852699 4373334 7705398 8989631 11558097 17979262 23116194 26968893 53937786 80906679 161813358