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161345132224 = 26107127185519
BaseRepresentation
bin1001011001000011101…
…0110101011011000000
3120102110102022221111221
42112100322311123000
510120413323212344
6202042042044424
714441165665333
oct2262072653300
9512412287457
10161345132224
1162476136991
122732a1a9714
13122a3b47453
147b4842261a
1542e4ae5184
hex2590eb56c0

161345132224 has 56 divisors (see below), whose sum is σ = 325707816960. Its totient is φ = 79288909056.

The previous prime is 161345132183. The next prime is 161345132237. The reversal of 161345132224 is 422231543161.

It is a self number, because there is not a number n which added to its sum of digits gives 161345132224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776937 + ... + 962455.

Almost surely, 2161345132224 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 161345132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162853908480).

161345132224 is an abundant number, since it is smaller than the sum of its proper divisors (164362684736).

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

161345132224 is a wasteful number, since it uses less digits than its factorization.

161345132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185765 (or 185755 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

Adding to 161345132224 its reverse (422231543161), we get a palindrome (583576675385).

The spelling of 161345132224 in words is "one hundred sixty-one billion, three hundred forty-five million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 127 214 254 428 508 856 1016 1712 2032 3424 4064 6848 8128 13589 27178 54356 108712 185519 217424 371038 434848 742076 869696 1484152 2968304 5936608 11873216 19850533 23560913 39701066 47121826 79402132 94243652 158804264 188487304 317608528 376974608 635217056 753949216 1270434112 1507898432 2521017691 5042035382 10084070764 20168141528 40336283056 80672566112 161345132224