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20128252831506 = 232194191139312329
BaseRepresentation
bin1001001001110011110010…
…10111000010011100010010
32122021020112112210101200100
410210321321113002130102
510114240130211102011
6110450443001233230
74145134604061351
oct444717127023422
978236475711610
1020128252831506
116460386a87666
122310ba7192816
13b30117205651
144d82d9683998
1524d8ae629d56
hex124e795c2712

20128252831506 has 96 divisors (see below), whose sum is σ = 46023875352000. Its totient is φ = 6340049362944.

The previous prime is 20128252831441. The next prime is 20128252831567. The reversal of 20128252831506 is 60513825282102.

20128252831506 is a `hidden beast` number, since 2 + 0 + 1 + 282 + 52 + 8 + 315 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632587950 + ... + 1632600278.

It is an arithmetic number, because the mean of its divisors is an integer number (479415368250).

Almost surely, 220128252831506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20128252831506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011937676000).

20128252831506 is an abundant number, since it is smaller than the sum of its proper divisors (25895622520494).

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

20128252831506 is a wasteful number, since it uses less digits than its factorization.

20128252831506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24168 (or 24165 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20128252831506 in words is "twenty trillion, one hundred twenty-eight billion, two hundred fifty-two million, eight hundred thirty-one thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 419 838 1257 2514 3771 7542 7961 11393 12329 15922 22786 23883 24658 34179 36987 47766 68358 71649 73974 102537 110961 143298 205074 216467 221922 234251 432934 468502 649401 702753 1298802 1405506 1948203 2108259 3896406 4216518 4773667 5165851 9547334 10331702 14321001 15497553 28642002 30995106 42963003 46492659 85926006 90699673 92985318 98151169 140464297 181399346 196302338 272099019 280928594 294453507 421392891 544198038 588907014 816297057 842785782 883360521 1264178673 1632594114 1766721042 2528357346 2668821643 5337643286 8006464929 16012929858 24019394787 48038789574 58854540443 117709080886 176563621329 353127242658 529690863987 1059381727974 1118236268417 2236472536834 3354708805251 6709417610502 10064126415753 20128252831506