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161636436 = 2232131372521
BaseRepresentation
bin10011010001001…
…10000001010100
3102021010222111200
421220212001110
5312334331221
624012232500
74001613153
oct1150460124
9367128450
10161636436
118326a935
124616b730
1327644580
141767759a
15e2cc426
hex9a26054

161636436 has 72 divisors (see below), whose sum is σ = 443397864. Its totient is φ = 49351680.

The previous prime is 161636413. The next prime is 161636467. The reversal of 161636436 is 634636161.

161636436 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 3 + 643 + 6 = 666.

161636436 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3027600 + 158608836 = 1740^2 + 12594^2 .

It is a super-2 number, since 2×1616364362 = 52252674885564192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

161636436 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 161636436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62856 + ... + 65376.

Almost surely, 2161636436 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 161636436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221698932).

161636436 is an abundant number, since it is smaller than the sum of its proper divisors (281761428).

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

161636436 is a wasteful number, since it uses less digits than its factorization.

161636436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2676 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 161636436 is about 12713.6318965117. The cubic root of 161636436 is about 544.7280701609.

The spelling of 161636436 in words is "one hundred sixty-one million, six hundred thirty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 137 156 234 274 411 468 548 822 1233 1644 1781 2466 2521 3562 4932 5042 5343 7124 7563 10084 10686 15126 16029 21372 22689 30252 32058 32773 45378 64116 65546 90756 98319 131092 196638 294957 345377 393276 589914 690754 1036131 1179828 1381508 2072262 3108393 4144524 4489901 6216786 8979802 12433572 13469703 17959604 26939406 40409109 53878812 80818218 161636436