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16289174496 = 2537193112553
BaseRepresentation
bin11110010101110100…
…10001001111100000
31120001012221210122010
433022322101033200
5231330012040441
611252205312520
71114442461440
oct171272211740
946035853563
1016289174496
1169a98a5991
1231a7265740
1316c79637ba
14b07528120
156550b7116
hex3cae913e0

16289174496 has 96 divisors (see below), whose sum is σ = 48896725248. Its totient is φ = 4651269120.

The previous prime is 16289174491. The next prime is 16289174501. The reversal of 16289174496 is 69447198261.

16289174496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16289174491) and next prime (16289174501).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×162891744962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16289174491) by changing a digit.

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, 1291356 + ... + 1303908.

It is an arithmetic number, because the mean of its divisors is an integer number (509340888).

Almost surely, 216289174496 is an apocalyptic number.

16289174496 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 16289174496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24448362624).

16289174496 is an abundant number, since it is smaller than the sum of its proper divisors (32607550752).

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

16289174496 is a wasteful number, since it uses less digits than its factorization.

16289174496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14504 (or 14496 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 16289174496 in words is "sixteen billion, two hundred eighty-nine million, one hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1931 3862 5793 7724 11586 12553 13517 15448 23172 25106 27034 30896 37659 40551 46344 50212 54068 61792 75318 81102 87871 92688 100424 108136 150636 162204 175742 185376 200848 216272 263613 301272 324408 351484 401696 432544 527226 602544 648816 702968 1054452 1205088 1297632 1405936 2108904 2811872 4217808 8435616 24239843 48479686 72719529 96959372 145439058 169678901 193918744 290878116 339357802 387837488 509036703 581756232 678715604 775674976 1018073406 1163512464 1357431208 2036146812 2327024928 2714862416 4072293624 5429724832 8144587248 16289174496