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162113364560 = 24571975092887
BaseRepresentation
bin1001011011111010110…
…1011010001001010000
3120111102221220012011102
42112332231122021100
510124002010131220
6202250204003532
714466214601630
oct2267655321120
9514387805142
10162113364560
116282a84a244
12275035305a8
13123970568b4
147bbc47c6c0
15433c294775
hex25beb5a250

162113364560 has 160 divisors (see below), whose sum is σ = 433945797120. Its totient is φ = 55171823616.

The previous prime is 162113364559. The next prime is 162113364587. The reversal of 162113364560 is 65463311261.

162113364560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56151437 + ... + 56154323.

It is an arithmetic number, because the mean of its divisors is an integer number (2712161232).

Almost surely, 2162113364560 is an apocalyptic number.

162113364560 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 162113364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216972898560).

162113364560 is an abundant number, since it is smaller than the sum of its proper divisors (271832432560).

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

162113364560 is a wasteful number, since it uses less digits than its factorization.

162113364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 162113364560 in words is "one hundred sixty-two billion, one hundred thirteen million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 197 280 394 509 560 788 985 1018 1379 1576 1970 2036 2545 2758 2887 3152 3563 3940 4072 5090 5516 5774 6895 7126 7880 8144 10180 11032 11548 13790 14252 14435 15760 17815 20209 20360 22064 23096 27580 28504 28870 35630 40418 40720 46192 55160 57008 57740 71260 80836 100273 101045 110320 115480 142520 161672 200546 202090 230960 285040 323344 401092 404180 501365 568739 701911 802184 808360 1002730 1137478 1403822 1469483 1604368 1616720 2005460 2274956 2807644 2843695 2938966 3509555 3981173 4010920 4549912 5615288 5687390 5877932 7019110 7347415 7962346 8021840 9099824 10286381 11230576 11374780 11755864 14038220 14694830 15924692 19905865 20572762 22749560 23511728 28076440 29389660 31849384 39811730 41145524 45499120 51431905 56152880 58779320 63698768 79623460 82291048 102863810 117558640 159246920 164582096 205727620 289488151 318493840 411455240 578976302 822910480 1157952604 1447440755 2026417057 2315905208 2894881510 4052834114 4631810416 5789763020 8105668228 10132085285 11579526040 16211336456 20264170570 23159052080 32422672912 40528341140 81056682280 162113364560