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160889376128 = 2713647149441
BaseRepresentation
bin1001010111010111000…
…0010000110110000000
3120101021122202010200112
42111311300100312000
510114000140014003
6201524521410452
714423663063345
oct2256560206600
9511248663615
10160889376128
1162261949658
1227221639a28
13122305b37a0
147b03aa67cc
1542b9abb3d8
hex2575c10d80

160889376128 has 64 divisors (see below), whose sum is σ = 345713145120. Its totient is φ = 74141368320.

The previous prime is 160889376127. The next prime is 160889376173. The reversal of 160889376128 is 821673988061.

It is a happy number.

160889376128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160889376127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001888 + ... + 1151328.

Almost surely, 2160889376128 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 160889376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172856572560).

160889376128 is an abundant number, since it is smaller than the sum of its proper divisors (184823768992).

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

160889376128 is a wasteful number, since it uses less digits than its factorization.

160889376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150115 (or 150103 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 160889376128 in words is "one hundred sixty billion, eight hundred eighty-nine million, three hundred seventy-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 647 832 1294 1664 2588 5176 8411 10352 16822 20704 33644 41408 67288 82816 134576 149441 269152 298882 538304 597764 1076608 1195528 1942733 2391056 3885466 4782112 7770932 9564224 15541864 19128448 31083728 62167456 96688327 124334912 193376654 248669824 386753308 773506616 1256948251 1547013232 2513896502 3094026464 5027793004 6188052928 10055586008 12376105856 20111172016 40222344032 80444688064 160889376128