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160052000000 = 285640013
BaseRepresentation
bin1001010100001111010…
…1111011010100000000
3120022010022002000120212
42111003311323110000
510110241303000000
6201305445453252
714364144360464
oct2250365732400
9508108060525
10160052000000
11619721aa572
1227029111228
1312128c75459
147a647ac4a4
15426b30ec35
hex2543d7b500

160052000000 has 126 divisors (see below), whose sum is σ = 399353364774. Its totient is φ = 64019200000.

The previous prime is 160051999981. The next prime is 160052000089. The reversal of 160052000000 is 250061.

It can be written as a sum of positive squares in 7 ways, for example, as 159309546496 + 742453504 = 399136^2 + 27248^2 .

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 3979994 + ... + 4020006.

It is an arithmetic number, because the mean of its divisors is an integer number (3169471149).

Almost surely, 2160052000000 is an apocalyptic number.

160052000000 is a gapful number since it is divisible by the number (10) 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 160052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199676682387).

160052000000 is an abundant number, since it is smaller than the sum of its proper divisors (239301364774).

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

160052000000 is an frugal number, since it uses more digits than its factorization.

160052000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40059 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 160052000000 its reverse (250061), we get a palindrome (160052250061).

The spelling of 160052000000 in words is "one hundred sixty billion, fifty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 40013 50000 62500 80000 80026 100000 125000 160000 160052 200000 200065 250000 320104 400000 400130 500000 640208 800000 800260 1000000 1000325 1280416 1600520 2000000 2000650 2560832 3201040 4000000 4001300 5001625 5121664 6402080 8002600 10003250 10243328 12804160 16005200 20006500 25008125 25608320 32010400 40013000 50016250 51216640 64020800 80026000 100032500 125040625 128041600 160052000 200065000 250081250 256083200 320104000 400130000 500162500 625203125 640208000 800260000 1000325000 1250406250 1280416000 1600520000 2000650000 2500812500 3201040000 4001300000 5001625000 6402080000 8002600000 10003250000 16005200000 20006500000 32010400000 40013000000 80026000000 160052000000