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20109906624 = 2632928112853
BaseRepresentation
bin10010101110101001…
…001101001011000000
31220220111100002210110
4102232221031023000
5312141114002444
613123253031320
71311225246243
oct225651151300
956814302713
1020109906624
11858a577545
123a92925540
131b863a9642
14d8ab3525a
157ca72acb9
hex4aea4d2c0

20109906624 has 112 divisors (see below), whose sum is σ = 55242378720. Its totient is φ = 6448619520.

The previous prime is 20109906617. The next prime is 20109906647. The reversal of 20109906624 is 42660990102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1558182 + ... + 1571034.

Almost surely, 220109906624 is an apocalyptic number.

20109906624 is a gapful number since it is divisible by the number (24) 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 20109906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27621189360).

20109906624 is an abundant number, since it is smaller than the sum of its proper divisors (35132472096).

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

20109906624 is a wasteful number, since it uses less digits than its factorization.

20109906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13178 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 20109906624 in words is "twenty billion, one hundred nine million, nine hundred six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 281 348 464 562 696 843 928 1124 1392 1686 1856 2248 2784 3372 4496 5568 6744 8149 8992 12853 13488 16298 17984 24447 25706 26976 32596 38559 48894 51412 53952 65192 77118 97788 102824 130384 154236 195576 205648 260768 308472 372737 391152 411296 521536 616944 745474 782304 822592 1118211 1233888 1490948 1564608 2236422 2467776 2981896 3611693 4472844 5963792 7223386 8945688 10835079 11927584 14446772 17891376 21670158 23855168 28893544 35782752 43340316 57787088 71565504 86680632 104739097 115574176 173361264 209478194 231148352 314217291 346722528 418956388 628434582 693445056 837912776 1256869164 1675825552 2513738328 3351651104 5027476656 6703302208 10054953312 20109906624