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160625000000 = 26510257
BaseRepresentation
bin1001010110010111111…
…1101111111001000000
3120100121020021102211002
42111211333233321000
510112430000000000
6201442355111132
714414302654433
oct2254577577100
9510536242732
10160625000000
1162136696993
1227168ba24a8
13121ba8a96ca
147aba92781a
1542a17978d5
hex2565fefe40

160625000000 has 154 divisors (see below), whose sum is σ = 399975577746. Its totient is φ = 64000000000.

The previous prime is 160624999999. The next prime is 160625000023. The reversal of 160625000000 is 526061.

It can be written as a sum of positive squares in 11 ways, for example, as 29246464 + 160595753536 = 5408^2 + 400744^2 .

It is a sliding number, since 160625000000 = 625000000 + 160000000000 and 1/625000000 + 1/160000000000 = 0.00000000160625000000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 624999872 + ... + 625000128.

Almost surely, 2160625000000 is an apocalyptic number.

160625000000 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 160625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987788873).

160625000000 is an abundant number, since it is smaller than the sum of its proper divisors (239350577746).

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

160625000000 is an frugal number, since it uses more digits than its factorization.

160625000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 160625000000 its reverse (526061), we get a palindrome (160625526061).

It can be divided in two parts, 160 and 625000000, that multiplied together give a 11-th power (100000000000 = 1011).

The spelling of 160625000000 in words is "one hundred sixty billion, six hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 257 320 400 500 514 625 800 1000 1028 1250 1285 1600 2000 2056 2500 2570 3125 4000 4112 5000 5140 6250 6425 8000 8224 10000 10280 12500 12850 15625 16448 20000 20560 25000 25700 31250 32125 40000 41120 50000 51400 62500 64250 78125 82240 100000 102800 125000 128500 156250 160625 200000 205600 250000 257000 312500 321250 390625 411200 500000 514000 625000 642500 781250 803125 1000000 1028000 1250000 1285000 1562500 1606250 1953125 2056000 2500000 2570000 3125000 3212500 3906250 4015625 5000000 5140000 6250000 6425000 7812500 8031250 9765625 10280000 12500000 12850000 15625000 16062500 19531250 20078125 25000000 25700000 31250000 32125000 39062500 40156250 51400000 62500000 64250000 78125000 80312500 100390625 125000000 128500000 156250000 160625000 200781250 257000000 312500000 321250000 401562500 501953125 625000000 642500000 803125000 1003906250 1285000000 1606250000 2007812500 2509765625 3212500000 4015625000 5019531250 6425000000 8031250000 10039062500 16062500000 20078125000 32125000000 40156250000 80312500000 160625000000