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16216313776 = 24133132617
BaseRepresentation
bin11110001101001000…
…10100111110110000
31112212010212002111221
433012210110332300
5231202334020101
611241043514424
71112566251505
oct170644247660
945763762457
1016216313776
116971760613
123186988a14
1316b5832b50
14adb99d4ac
1564d9c3aa1
hex3c6914fb0

16216313776 has 80 divisors (see below), whose sum is σ = 34977150208. Its totient is φ = 7240250880.

The previous prime is 16216313767. The next prime is 16216313803. The reversal of 16216313776 is 67731361261.

16216313776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6195220 + ... + 6197836.

Almost surely, 216216313776 is an apocalyptic number.

16216313776 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 16216313776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17488575104).

16216313776 is an abundant number, since it is smaller than the sum of its proper divisors (18760836432).

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

16216313776 is an equidigital number, since it uses as much as digits as its factorization.

16216313776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2663 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The spelling of 16216313776 in words is "sixteen billion, two hundred sixteen million, three hundred thirteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 961 1612 1922 2617 3224 3844 5234 6448 7688 10468 12493 15376 20936 24986 29791 34021 41872 49972 59582 68042 81127 99944 119164 136084 162254 199888 238328 272168 324508 387283 476656 544336 649016 774566 1054651 1298032 1549132 2109302 2514937 3098264 4218604 5029874 6196528 8437208 10059748 16874416 20119496 32694181 40238992 65388362 77963047 130776724 155926094 261553448 311852188 523106896 623704376 1013519611 1247408752 2027039222 4054078444 8108156888 16216313776