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188729023120 = 245111967716673
BaseRepresentation
bin1010111111000100100…
…0000101101010010000
3200001010211221201212021
42233301020011222100
511043004112214440
6222411221541224
716430611141051
oct2576110055220
9601124851767
10188729023120
1173048682480
12306b0b74814
1314a492191a1
1491c5234728
154d98c0a84a
hex2bf1205a90

188729023120 has 160 divisors (see below), whose sum is σ = 504653950080. Its totient is φ = 64916766720.

The previous prime is 188729023079. The next prime is 188729023129. The reversal of 188729023120 is 21320927881.

188729023120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (188729023129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11311104 + ... + 11327776.

It is an arithmetic number, because the mean of its divisors is an integer number (3154087188).

Almost surely, 2188729023120 is an apocalyptic number.

188729023120 is a gapful number since it is divisible by the number (10) 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 188729023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252326975040).

188729023120 is an abundant number, since it is smaller than the sum of its proper divisors (315924926960).

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

188729023120 is a wasteful number, since it uses less digits than its factorization.

188729023120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17393 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 188729023120 in words is "one hundred eighty-eight billion, seven hundred twenty-nine million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 677 760 836 880 1045 1354 1520 1672 2090 2708 3344 3385 4180 5416 6770 7447 8360 10832 12863 13540 14894 16673 16720 25726 27080 29788 33346 37235 51452 54160 59576 64315 66692 74470 83365 102904 119152 128630 133384 141493 148940 166730 183403 205808 257260 266768 282986 297880 316787 333460 366806 514520 565972 595760 633574 666920 707465 733612 917015 1029040 1131944 1267148 1333840 1414930 1467224 1583935 1834030 2263888 2534296 2829860 2934448 3167870 3484657 3668060 5068592 5659720 6335740 6969314 7336120 11287621 11319440 12671480 13938628 14672240 17423285 22575242 25342960 27877256 34846570 45150484 55754512 56438105 69693140 90300968 112876210 124163831 139386280 180601936 214464799 225752420 248327662 278772560 428929598 451504840 496655324 620819155 857859196 903009680 993310648 1072323995 1241638310 1715718392 1986621296 2144647990 2359112789 2483276620 3431436784 4289295980 4718225578 4966553240 8578591960 9436451156 9933106480 11795563945 17157183920 18872902312 23591127890 37745804624 47182255780 94364511560 188729023120