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16224645376 = 281924192
BaseRepresentation
bin11110001110001000…
…00111000100000000
31112212201112101022201
433013010013010000
5231212002123001
611241542242544
71113030132052
oct170704070400
945781471281
1016224645376
116976431235
123189726454
1316b748c1a4
14adcb2b8d2
1564e5bc501
hex3c7107100

16224645376 has 81 divisors (see below), whose sum is σ = 34261916871. Its totient is φ = 7667016192.

The previous prime is 16224645331. The next prime is 16224645377. The reversal of 16224645376 is 67354642261.

The square root of 16224645376 is 127376.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16224645377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 38722095 + ... + 38722513.

Almost surely, 216224645376 is an apocalyptic number.

16224645376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16224645376 is the 127376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16224645376

16224645376 is an abundant number, since it is smaller than the sum of its proper divisors (18037271495).

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

16224645376 is an frugal number, since it uses more digits than its factorization.

16224645376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 440 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 16224645376 in words is "sixteen billion, two hundred twenty-four million, six hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 361 419 608 722 838 1216 1444 1676 2432 2888 3352 4864 5776 6704 7961 11552 13408 15922 23104 26816 31844 46208 53632 63688 92416 107264 127376 151259 175561 254752 302518 351122 509504 605036 702244 1019008 1210072 1404488 2038016 2420144 2808976 3335659 4840288 5617952 6671318 9680576 11235904 13342636 19361152 22471808 26685272 38722304 44943616 53370544 63377521 106741088 126755042 213482176 253510084 426964352 507020168 853928704 1014040336 2028080672 4056161344 8112322688 16224645376