Search a number
-
+
16368201216 = 293211093203
BaseRepresentation
bin11110011111001111…
…01110111000000000
31120020201122202220200
433033213232320000
5232010224414331
611304111205200
71116422262153
oct171747567000
946221582820
1016368201216
116a3a471924
123209816800
13170b142b83
14b13c19c9a
1565bec75e6
hex3cf9eee00

16368201216 has 120 divisors (see below), whose sum is σ = 47297095560. Its totient is φ = 5449445376.

The previous prime is 16368201193. The next prime is 16368201217. The reversal of 16368201216 is 61210286361.

It is a happy number.

16368201216 is a `hidden beast` number, since 1 + 636 + 8 + 2 + 0 + 1 + 2 + 16 = 666.

It is a super-2 number, since 2×163682012162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16368201217) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5108671 + ... + 5111873.

It is an arithmetic number, because the mean of its divisors is an integer number (394142463).

Almost surely, 216368201216 is an apocalyptic number.

16368201216 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 16368201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23648547780).

16368201216 is an abundant number, since it is smaller than the sum of its proper divisors (30928894344).

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

16368201216 is a wasteful number, since it uses less digits than its factorization.

16368201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 16368201216 its reverse (61210286361), we get a palindrome (77578487577).

The spelling of 16368201216 in words is "sixteen billion, three hundred sixty-eight million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1109 1152 1536 2218 2304 3203 3327 4436 4608 6406 6654 8872 9609 9981 12812 13308 17744 19218 19962 25624 26616 28827 35488 38436 39924 51248 53232 57654 70976 76872 79848 102496 106464 115308 141952 153744 159696 204992 212928 230616 283904 307488 319392 409984 425856 461232 567808 614976 638784 819968 851712 922464 1229952 1277568 1639936 1703424 1844928 2459904 2555136 3552127 3689856 4919808 5110272 7104254 7379712 10656381 14208508 14759424 21312762 28417016 31969143 42625524 56834032 63938286 85251048 113668064 127876572 170502096 227336128 255753144 341004192 454672256 511506288 682008384 909344512 1023012576 1364016768 1818689024 2046025152 2728033536 4092050304 5456067072 8184100608 16368201216