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23118030432 = 2532717964063
BaseRepresentation
bin10101100001111100…
…010010011001100000
32012200010122121220100
4111201330102121200
5334321203433212
614341551342400
71445613005430
oct254174223140
965603577810
1023118030432
119893586482
124592221a00
132245676763
1411944542c0
15904876bdc
hex561f12660

23118030432 has 144 divisors (see below), whose sum is σ = 75554519040. Its totient is φ = 6568148736.

The previous prime is 23118030401. The next prime is 23118030511. The reversal of 23118030432 is 23403081132.

23118030432 is a `hidden beast` number, since 23 + 1 + 180 + 30 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 23118030396 and 23118030405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328833 + ... + 392895.

It is an arithmetic number, because the mean of its divisors is an integer number (524684160).

Almost surely, 223118030432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23118030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37777259520).

23118030432 is an abundant number, since it is smaller than the sum of its proper divisors (52436488608).

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

23118030432 is a wasteful number, since it uses less digits than its factorization.

23118030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64265 (or 64254 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23118030432 in words is "twenty-three billion, one hundred eighteen million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 179 224 252 288 336 358 504 537 672 716 1008 1074 1253 1432 1611 2016 2148 2506 2864 3222 3759 4296 5012 5728 6444 7518 8592 10024 11277 12888 15036 17184 20048 22554 25776 30072 40096 45108 51552 60144 64063 90216 120288 128126 180432 192189 256252 360864 384378 448441 512504 576567 768756 896882 1025008 1153134 1345323 1537512 1793764 2050016 2306268 2690646 3075024 3587528 4035969 4612536 5381292 6150048 7175056 8071938 9225072 10762584 11467277 14350112 16143876 18450144 21525168 22934554 32287752 34401831 43050336 45869108 64575504 68803662 80270939 91738216 103205493 129151008 137607324 160541878 183476432 206410986 240812817 275214648 321083756 366952864 412821972 481625634 550429296 642167512 722438451 825643944 963251268 1100858592 1284335024 1444876902 1651287888 1926502536 2568670048 2889753804 3302575776 3853005072 5779507608 7706010144 11559015216 23118030432