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16251683648 = 264119931123
BaseRepresentation
bin11110010001010110…
…10000001101000000
31112221121102001212012
433020223100031000
5231240412334043
611244345552052
71113506013614
oct171053201500
945847361765
1016251683648
11698a719512
1231967a5628
1316bcc68075
14b02569344
15651b5da18
hex3c8ad0340

16251683648 has 56 divisors (see below), whose sum is σ = 33203083200. Its totient is φ = 7887559680.

The previous prime is 16251683627. The next prime is 16251683653. The reversal of 16251683648 is 84638615261.

It is a junction number, because it is equal to n+sod(n) for n = 16251683596 and 16251683605.

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 7 ways as a sum of consecutive naturals, for example, 506615 + ... + 537737.

It is an arithmetic number, because the mean of its divisors is an integer number (592912200).

Almost surely, 216251683648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16251683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601541600).

16251683648 is an abundant number, since it is smaller than the sum of its proper divisors (16951399552).

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

16251683648 is a wasteful number, since it uses less digits than its factorization.

16251683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31375 (or 31365 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 50.

The spelling of 16251683648 in words is "sixteen billion, two hundred fifty-one million, six hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 199 328 398 656 796 1312 1592 2624 3184 6368 8159 12736 16318 31123 32636 62246 65272 124492 130544 248984 261088 497968 522176 995936 1276043 1991872 2552086 5104172 6193477 10208344 12386954 20416688 24773908 40833376 49547816 81666752 99095632 198191264 253932557 396382528 507865114 1015730228 2031460456 4062920912 8125841824 16251683648