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16428296952 = 2332192293
BaseRepresentation
bin11110100110011001…
…11110101011111000
31120101220201221202200
433103030332223320
5232121121000302
611314055230200
71121052135324
oct172314765370
946356657680
1016428296952
116a70388721
123225978360
13171a724592
14b1bbc0984
156623e881c
hex3d333eaf8

16428296952 has 96 divisors (see below), whose sum is σ = 47040474000. Its totient is φ = 5165228736.

The previous prime is 16428296903. The next prime is 16428296977. The reversal of 16428296952 is 25969282461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71739174 + ... + 71739402.

Almost surely, 216428296952 is an apocalyptic number.

16428296952 is a gapful number since it is divisible by the number (12) 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 16428296952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520237000).

16428296952 is an abundant number, since it is smaller than the sum of its proper divisors (30612177048).

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

16428296952 is an frugal number, since it uses more digits than its factorization.

16428296952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 253 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 16428296952 in words is "sixteen billion, four hundred twenty-eight million, two hundred ninety-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 229 342 456 458 684 687 916 1368 1374 1832 2061 2748 4122 4351 5496 8244 8702 13053 16488 17404 26106 34808 39159 52212 52441 78318 104424 104882 156636 157323 209764 313272 314646 419528 471969 629292 943938 996379 1258584 1887876 1992758 2989137 3775752 3985516 5978274 7971032 8967411 11956548 12008989 17934822 23913096 24017978 35869644 36026967 48035956 71739288 72053934 96071912 108080901 144107868 216161802 228170791 288215736 432323604 456341582 684512373 864647208 912683164 1369024746 1825366328 2053537119 2738049492 4107074238 5476098984 8214148476 16428296952