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5616268512 = 253173123581
BaseRepresentation
bin1010011101100000…
…10111010011100000
3112111102000000000220
411032300113103200
543000231043022
62325144043040
7256114331451
oct51660272340
915442000026
105616268512
112422267728
121108a63480
136b673230a
143b3c81128
1522d0d985c
hex14ec174e0

5616268512 has 144 divisors (see below), whose sum is σ = 16134216336. Its totient is φ = 1704652800.

The previous prime is 5616268507. The next prime is 5616268513. The reversal of 5616268512 is 2158626165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5616268513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566562 + ... + 1570142.

It is an arithmetic number, because the mean of its divisors is an integer number (112043169).

Almost surely, 25616268512 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 5616268512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067108168).

5616268512 is an abundant number, since it is smaller than the sum of its proper divisors (10517947824).

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

5616268512 is a wasteful number, since it uses less digits than its factorization.

5616268512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3634 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 5616268512 is about 74941.7674731521. The cubic root of 5616268512 is about 1777.5259691451.

The spelling of 5616268512 in words is "five billion, six hundred sixteen million, two hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 961 992 1054 1488 1581 1632 1922 2108 2883 2976 3162 3581 3844 4216 5766 6324 7162 7688 8432 10743 11532 12648 14324 15376 16337 16864 21486 23064 25296 28648 30752 32674 42972 46128 49011 50592 57296 60877 65348 85944 92256 98022 111011 114592 121754 130696 171888 182631 196044 222022 243508 261392 333033 343776 365262 392088 444044 487016 522784 666066 730524 784176 888088 974032 1332132 1461048 1568352 1776176 1887187 1948064 2664264 2922096 3441341 3552352 3774374 5328528 5661561 5844192 6882682 7548748 10324023 10657056 11323122 13765364 15097496 20648046 22646244 27530728 30194992 41296092 45292488 55061456 58502797 60389984 82592184 90584976 110122912 117005594 165184368 175508391 181169952 234011188 330368736 351016782 468022376 702033564 936044752 1404067128 1872089504 2808134256 5616268512