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20133789144 = 2337225766617
BaseRepresentation
bin10010110000000100…
…010011110111011000
31220222011021110110020
4102300010103313120
5312213222223034
613125504550440
71311635245500
oct226004236730
956864243406
1020133789144
1185a1aa9867
123a9a922420
131b8b31c001
14d8dd90a00
157cc897249
hex4b0113dd8

20133789144 has 96 divisors (see below), whose sum is σ = 58781058480. Its totient is φ = 5730041856.

The previous prime is 20133789119. The next prime is 20133789149. The reversal of 20133789144 is 44198733102.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20133789096 and 20133789105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133789149) 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, 268924 + ... + 335540.

Almost surely, 220133789144 is an apocalyptic number.

20133789144 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 20133789144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29390529240).

20133789144 is an abundant number, since it is smaller than the sum of its proper divisors (38647269336).

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

20133789144 is a wasteful number, since it uses less digits than its factorization.

20133789144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66897 (or 66886 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 20133789144 in words is "twenty billion, one hundred thirty-three million, seven hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 257 294 392 514 588 771 1028 1176 1542 1799 2056 3084 3598 5397 6168 7196 10794 12593 14392 21588 25186 37779 43176 50372 66617 75558 100744 133234 151116 199851 266468 302232 399702 466319 532936 799404 932638 1398957 1598808 1865276 2797914 3264233 3730552 5595828 6528466 9792699 11191656 13056932 17120569 19585398 26113864 34241138 39170796 51361707 68482276 78341592 102723414 119843983 136964552 205446828 239687966 359531949 410893656 479375932 719063898 838907881 958751864 1438127796 1677815762 2516723643 2876255592 3355631524 5033447286 6711263048 10066894572 20133789144