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12506633264020 = 22576111287129749
BaseRepresentation
bin1011010111111110110101…
…1011101101101110010100
31122021121210202221112122011
42311333231123231232110
53114402041103422040
642333245031114004
72430401013501130
oct265775533555624
948247722845564
1012506633264020
113a92040480785
12149ba52212904
136c94a7b7a84c
14313477b763c0
1516a4d607a3ea
hexb5fed6edb94

12506633264020 has 96 divisors (see below), whose sum is σ = 30510922176000. Its totient is φ = 4217287472640.

The previous prime is 12506633264011. The next prime is 12506633264113. The reversal of 12506633264020 is 2046233660521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96326106 + ... + 96455854.

It is an arithmetic number, because the mean of its divisors is an integer number (317822106000).

Almost surely, 212506633264020 is an apocalyptic number.

12506633264020 is a gapful number since it is divisible by the number (10) 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 12506633264020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15255461088000).

12506633264020 is an abundant number, since it is smaller than the sum of its proper divisors (18004288911980).

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

12506633264020 is a wasteful number, since it uses less digits than its factorization.

12506633264020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141113 (or 141111 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 12506633264020 in words is "twelve trillion, five hundred six billion, six hundred thirty-three million, two hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 11287 22574 45148 56435 79009 112870 129749 158018 225740 259498 316036 395045 518996 648745 688507 790090 908243 1297490 1377014 1580180 1816486 2594980 2754028 3442535 3632972 4541215 4819549 6885070 7914689 9082430 9639098 13770140 15829378 18164860 19278196 24097745 31658756 39573445 48195490 55402823 79146890 96390980 110805646 158293780 221611292 277014115 554028230 1108056460 1464476963 2928953926 5857907852 7322384815 10251338741 14644769630 20502677482 29289539260 41005354964 51256693705 89333094743 102513387410 178666189486 205026774820 357332378972 446665473715 625331663201 893330947430 1250663326402 1786661894860 2501326652804 3126658316005 6253316632010 12506633264020