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1108938333906 = 23213163227312791
BaseRepresentation
bin10000001000110001111…
…000000001111011010010
310221000100211010011202200
4100020301320001323102
5121132101203141111
62205234513024030
7143055345212034
oct20106170017322
93830324104680
101108938333906
11398330863607
1215ab05255016
1380759847150
143b95c629c54
151dca554b256
hex10231e01ed2

1108938333906 has 96 divisors (see below), whose sum is σ = 2604746132352. Its totient is φ = 338942776320.

The previous prime is 1108938333901. The next prime is 1108938333907. The reversal of 1108938333906 is 6093338398011.

1108938333906 is a `hidden beast` number, since 110 + 89 + 38 + 33 + 390 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1108938333901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86690371 + ... + 86703161.

It is an arithmetic number, because the mean of its divisors is an integer number (27132772212).

Almost surely, 21108938333906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1108938333906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302373066176).

1108938333906 is an abundant number, since it is smaller than the sum of its proper divisors (1495807798446).

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

1108938333906 is a wasteful number, since it uses less digits than its factorization.

1108938333906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15248 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1108938333906 in words is "one trillion, one hundred eight billion, nine hundred thirty-eight million, three hundred thirty-three thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2273 2934 4238 4546 6357 6819 12714 12791 13638 19071 20457 25582 29549 38142 38373 40914 59098 76746 88647 115119 166283 177294 230238 265941 332566 370499 498849 531882 740998 997698 1111497 1496547 2084933 2222994 2993094 3334491 4169866 4816487 6254799 6668982 9632974 12509598 14449461 18764397 27104129 28898922 29073943 37528794 43348383 54208258 58147886 81312387 86696766 87221829 162624774 174443658 243937161 261665487 377961259 487874322 523330974 755922518 1133883777 2267767554 3401651331 4739052709 6803302662 9478105418 14217158127 28434316254 42651474381 61607685217 85302948762 123215370434 184823055651 369646111302 554469166953 1108938333906