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161106552 = 233217433061
BaseRepresentation
bin10011001101001…
…00101001111000
3102020011001122100
421212210221320
5312220402202
623553023400
73664245255
oct1146445170
9366131570
10161106552
1182a38812
1245b54b60
13274ba329
141757a42c
15e22541c
hex99a4a78

161106552 has 96 divisors (see below), whose sum is σ = 472895280. Its totient is φ = 49351680.

The previous prime is 161106541. The next prime is 161106577. The reversal of 161106552 is 255601161.

It is a happy number.

161106552 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 0 + 655 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51102 + ... + 54162.

Almost surely, 2161106552 is an apocalyptic number.

161106552 is a gapful number since it is divisible by the number (12) 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 161106552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236447640).

161106552 is an abundant number, since it is smaller than the sum of its proper divisors (311788728).

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

161106552 is a wasteful number, since it uses less digits than its factorization.

161106552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 161106552 is about 12692.7755829842. The cubic root of 161106552 is about 544.1321676415.

The spelling of 161106552 in words is "one hundred sixty-one million, one hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1462 1548 2193 2924 3061 3096 4386 5848 6122 6579 8772 9183 12244 13158 17544 18366 24488 26316 27549 36732 52037 52632 55098 73464 104074 110196 131623 156111 208148 220392 263246 312222 394869 416296 468333 526492 624444 789738 936666 1052984 1184607 1248888 1579476 1873332 2237591 2369214 3158952 3746664 4475182 4738428 6712773 8950364 9476856 13425546 17900728 20138319 26851092 40276638 53702184 80553276 161106552