Search a number
-
+
162012003216 = 24372413795279
BaseRepresentation
bin1001011011100010101…
…0101111101110010000
3120111011220011111112120
42112320222233232100
510123300033100331
6202232143254240
714463544206540
oct2267052575620
9514156144476
10162012003216
1162788608a38
12274955aa380
131237c05757b
147bacc15320
154333421796
hex25b8aafb90

162012003216 has 160 divisors (see below), whose sum is σ = 481664409600. Its totient is φ = 45966735360.

The previous prime is 162012003211. The next prime is 162012003221. The reversal of 162012003216 is 612300210261.

It is an interprime number because it is at equal distance from previous prime (162012003211) and next prime (162012003221).

It is a super-2 number, since 2×1620120032162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (162012003211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30687265 + ... + 30692543.

It is an arithmetic number, because the mean of its divisors is an integer number (3010402560).

Almost surely, 2162012003216 is an apocalyptic number.

162012003216 is a gapful number since it is divisible by the number (16) 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 162012003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240832204800).

162012003216 is an abundant number, since it is smaller than the sum of its proper divisors (319652406384).

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

162012003216 is a wasteful number, since it uses less digits than its factorization.

162012003216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 162012003216 its reverse (612300210261), we get a palindrome (774312213477).

The spelling of 162012003216 in words is "one hundred sixty-two billion, twelve million, three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 379 482 723 758 964 1137 1446 1516 1687 1928 2274 2653 2892 3032 3374 3856 4548 5061 5279 5306 5784 6064 6748 7959 9096 10122 10558 10612 11568 13496 15837 15918 18192 20244 21116 21224 26992 31674 31836 36953 40488 42232 42448 63348 63672 73906 80976 84464 91339 110859 126696 127344 147812 182678 221718 253392 274017 295624 365356 443436 548034 591248 639373 730712 886872 1096068 1272239 1278746 1461424 1773744 1918119 2000741 2192136 2544478 2557492 3816717 3836238 4001482 4384272 5088956 5114984 6002223 7633434 7672476 8002964 8905673 10177912 10229968 12004446 14005187 15266868 15344952 16005928 17811346 20355824 24008892 26717019 28010374 30533736 30689904 32011856 35622692 42015561 48017784 53434038 56020748 61067472 71245384 84031122 96035568 106868076 112041496 142490768 168062244 213736152 224082992 336124488 427472304 482178581 672248976 964357162 1446535743 1928714324 2893071486 3375250067 3857428648 5786142972 6750500134 7714857296 10125750201 11572285944 13501000268 20251500402 23144571888 27002000536 40503000804 54004001072 81006001608 162012003216