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16454400312 = 2337273191669
BaseRepresentation
bin11110101001100001…
…00011100100111000
31120110201212010211210
433110300203210320
5232144311302222
611320430523120
71121520044400
oct172460434470
946421763753
1016454400312
116a84097549
1232326664a0
131722c63a5c
14b21457800
15664852d0c
hex3d4c23938

16454400312 has 96 divisors (see below), whose sum is σ = 48507843600. Its totient is φ = 4636832256.

The previous prime is 16454400301. The next prime is 16454400329. The reversal of 16454400312 is 21300445461.

It is a self number, because there is not a number n which added to its sum of digits gives 16454400312.

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, 9987 + ... + 181682.

Almost surely, 216454400312 is an apocalyptic number.

16454400312 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 16454400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24253921800).

16454400312 is an abundant number, since it is smaller than the sum of its proper divisors (32053443288).

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

16454400312 is a wasteful number, since it uses less digits than its factorization.

16454400312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191765 (or 191754 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 16454400312 its reverse (21300445461), we get a palindrome (37754845773).

The spelling of 16454400312 in words is "sixteen billion, four hundred fifty-four million, four hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 73 84 98 146 147 168 196 219 292 294 392 438 511 584 588 876 1022 1176 1533 1752 2044 3066 3577 4088 6132 7154 10731 12264 14308 21462 28616 42924 85848 191669 383338 575007 766676 1150014 1341683 1533352 2300028 2683366 4025049 4600056 5366732 8050098 9391781 10733464 13991837 16100196 18783562 27983674 28175343 32200392 37567124 41975511 55967348 56350686 75134248 83951022 97942859 111934696 112701372 167902044 195885718 225402744 293828577 335804088 391771436 587657154 685600013 783542872 1175314308 1371200026 2056800039 2350628616 2742400052 4113600078 5484800104 8227200156 16454400312