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6629856112 = 24111729109701
BaseRepresentation
bin1100010110010101…
…11001001101110000
3122010001020120211101
412023022321031300
5102034220343422
63013512454144
7323202563365
oct61312711560
918101216741
106629856112
1128a2421030
1213503aa354
13818718ca9
1446c72846c
1528c0a1c27
hex18b2b9370

6629856112 has 160 divisors (see below), whose sum is σ = 15511953600. Its totient is φ = 2709504000.

The previous prime is 6629856071. The next prime is 6629856113. The reversal of 6629856112 is 2116589266.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629856113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9457362 + ... + 9458062.

It is an arithmetic number, because the mean of its divisors is an integer number (96949710).

Almost surely, 26629856112 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 6629856112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755976800).

6629856112 is an abundant number, since it is smaller than the sum of its proper divisors (8882097488).

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

6629856112 is a wasteful number, since it uses less digits than its factorization.

6629856112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 869 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 6629856112 is about 81423.9283748948. The cubic root of 6629856112 is about 1878.6016567151.

The spelling of 6629856112 in words is "six billion, six hundred twenty-nine million, eight hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 109 116 136 176 187 218 232 272 319 374 436 464 493 638 701 748 872 986 1199 1276 1402 1496 1744 1853 1972 2398 2552 2804 2992 3161 3706 3944 4796 5104 5423 5608 6322 7412 7711 7888 9592 10846 11216 11917 12644 14824 15422 19184 20329 20383 21692 23834 25288 29648 30844 34771 40658 40766 43384 47668 50576 53737 61688 69542 76409 81316 81532 86768 95336 107474 123376 131087 139084 152818 162632 163064 190672 214948 223619 262174 278168 305636 325264 326128 345593 429896 447238 524348 556336 591107 611272 691186 840499 859792 894476 1048696 1182214 1222544 1298953 1382372 1680998 1788952 2097392 2215861 2364428 2597906 2764744 3361996 3577904 3801523 4431722 4728856 5195812 5529488 6723992 7603046 8863444 9457712 10391624 13447984 14288483 15206092 17726888 20783248 24374471 28576966 30412184 35453776 37669637 48748942 57153932 60824368 75339274 97497884 114307864 150678548 194995768 228615728 301357096 389991536 414366007 602714192 828732014 1657464028 3314928056 6629856112