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16210212096 = 283131795507
BaseRepresentation
bin11110001100011010…
…00011010100000000
31112211201101002120210
433012031003110000
5231144303241341
611240305034120
71112463346401
oct170615032400
945751332523
1016210212096
116969273301
123184925940
1316b44a77a0
14adac519a8
1564d1bac16
hex3c6343500

16210212096 has 144 divisors (see below), whose sum is σ = 49195024704. Its totient is φ = 4694310912.

The previous prime is 16210212071. The next prime is 16210212101. The reversal of 16210212096 is 69021201261.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121975 + ... + 217481.

It is an arithmetic number, because the mean of its divisors is an integer number (341632116).

Almost surely, 216210212096 is an apocalyptic number.

16210212096 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 16210212096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24597512352).

16210212096 is an abundant number, since it is smaller than the sum of its proper divisors (32984812608).

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

16210212096 is a wasteful number, since it uses less digits than its factorization.

16210212096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95556 (or 95542 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The spelling of 16210212096 in words is "sixteen billion, two hundred ten million, two hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3328 3536 4352 4992 5304 6528 7072 9984 10608 13056 14144 21216 28288 42432 56576 84864 95507 169728 191014 286521 382028 573042 764056 1146084 1241591 1528112 1623619 2292168 2483182 3056224 3247238 3724773 4584336 4870857 4966364 6112448 6494476 7449546 9168672 9741714 9932728 12224896 12988952 14899092 18337344 19483428 19865456 21107047 24449792 25977904 29798184 36674688 38966856 39730912 42214094 51955808 59596368 63321141 73349376 77933712 79461824 84428188 103911616 119192736 126642282 155867424 158923648 168856376 207823232 238385472 253284564 311734848 317847296 337712752 415646464 476770944 506569128 623469696 675425504 953541888 1013138256 1246939392 1350851008 2026276512 2701702016 4052553024 5403404032 8105106048 16210212096