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161544474 = 232721373193
BaseRepresentation
bin10011010000011…
…11100100011010
3102020222022100200
421220033210122
5312323410344
624010243030
74001051100
oct1150174432
9366868320
10161544474
1183207833
1246126476
1327611760
1417651c70
15e2b0069
hex9a0f91a

161544474 has 144 divisors (see below), whose sum is σ = 446787432. Its totient is φ = 41803776.

The previous prime is 161544463. The next prime is 161544497. The reversal of 161544474 is 474445161.

It is a happy number.

161544474 is a `hidden beast` number, since 161 + 54 + 447 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96177249 + 65367225 = 9807^2 + 8085^2 .

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 71 ways as a sum of consecutive naturals, for example, 836922 + ... + 837114.

Almost surely, 2161544474 is an apocalyptic number.

161544474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161544474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223393716).

161544474 is an abundant number, since it is smaller than the sum of its proper divisors (285242958).

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

161544474 is a wasteful number, since it uses less digits than its factorization.

161544474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 161544474 is about 12710.0147128160. The cubic root of 161544474 is about 544.6247440642.

The spelling of 161544474 in words is "one hundred sixty-one million, five hundred forty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 73 78 91 98 117 126 146 147 182 193 219 234 273 294 386 438 441 511 546 579 637 657 819 882 949 1022 1158 1274 1314 1351 1533 1638 1737 1898 1911 2509 2702 2847 3066 3474 3577 3822 4053 4599 5018 5694 5733 6643 7154 7527 8106 8541 9198 9457 10731 11466 12159 13286 14089 15054 17082 17563 18914 19929 21462 22581 24318 28178 28371 32193 35126 39858 42267 45162 46501 52689 56742 59787 64386 84534 85113 93002 98623 105378 119574 122941 126801 139503 158067 170226 183157 197246 245882 253602 279006 295869 316134 366314 368823 418509 549471 591738 690361 737646 837018 887607 1098942 1106469 1282099 1380722 1648413 1775214 2071083 2212938 2564198 3296826 3846297 4142166 6213249 7692594 8974693 11538891 12426498 17949386 23077782 26924079 53848158 80772237 161544474