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182320900920 = 23345173325271
BaseRepresentation
bin1010100111001100101…
…1000010101100111000
3122102121020221101210000
42221303023002230320
510441343122312140
6215431305353000
716113040042044
oct2516313025470
9572536841700
10182320900920
117035a439414
122b402a98760
1314267726bc2
148b78149024
154b21357a30
hex2a732c2b38

182320900920 has 160 divisors (see below), whose sum is σ = 616344901920. Its totient is φ = 48337724160.

The previous prime is 182320900919. The next prime is 182320900987. The reversal of 182320900920 is 29009023281.

182320900920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 397885 + ... + 723155.

It is an arithmetic number, because the mean of its divisors is an integer number (3852155637).

Almost surely, 2182320900920 is an apocalyptic number.

182320900920 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 182320900920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308172450960).

182320900920 is an abundant number, since it is smaller than the sum of its proper divisors (434024001000).

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

182320900920 is a wasteful number, since it uses less digits than its factorization.

182320900920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325467 (or 325454 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 182320900920 in words is "one hundred eighty-two billion, three hundred twenty million, nine hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 173 180 216 270 324 346 360 405 519 540 648 692 810 865 1038 1080 1384 1557 1620 1730 2076 2595 3114 3240 3460 4152 4671 5190 6228 6920 7785 9342 10380 12456 14013 15570 18684 20760 23355 28026 31140 37368 46710 56052 62280 70065 93420 112104 140130 186840 280260 325271 560520 650542 975813 1301084 1626355 1951626 2602168 2927439 3252710 3903252 4879065 5854878 6505420 7806504 8782317 9758130 11709756 13010840 14637195 17564634 19516260 23419512 26346951 29274390 35129268 39032520 43911585 52693902 56271883 58548780 70258536 87823170 105387804 112543766 117097560 131734755 168815649 175646340 210775608 225087532 263469510 281359415 337631298 351292680 450175064 506446947 526939020 562718830 675262596 844078245 1012893894 1053878040 1125437660 1350525192 1519340841 1688156490 2025787788 2250875320 2532234735 3038681682 3376312980 4051575576 4558022523 5064469470 6077363364 6752625960 7596704205 9116045046 10128938940 12154726728 15193408410 18232090092 20257877880 22790112615 30386816820 36464180184 45580225230 60773633640 91160450460 182320900920