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138863270960 = 24523476532459
BaseRepresentation
bin1000000101010011100…
…1010101110000110000
3111021102121202001122122
42001110321111300300
54233342444132320
6143443133453412
713014106220321
oct2012471256060
9437377661578
10138863270960
1153989772857
1222ab5041268
131013022156b
146a1468c448
15392b032d25
hex2054e55c30

138863270960 has 160 divisors (see below), whose sum is σ = 344729364480. Its totient is φ = 51899116544.

The previous prime is 138863270957. The next prime is 138863270969. The reversal of 138863270960 is 69072368831.

It is not an unprimeable number, because it can be changed into a prime (138863270969) 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, 56470211 + ... + 56472669.

It is an arithmetic number, because the mean of its divisors is an integer number (2154558528).

Almost surely, 2138863270960 is an apocalyptic number.

138863270960 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 138863270960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172364682240).

138863270960 is an abundant number, since it is smaller than the sum of its proper divisors (205866093520).

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

138863270960 is a wasteful number, since it uses less digits than its factorization.

138863270960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 138863270960 in words is "one hundred thirty-eight billion, eight hundred sixty-three million, two hundred seventy thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 653 752 920 940 1081 1306 1840 1880 2162 2459 2612 3265 3760 4324 4918 5224 5405 6530 8648 9836 10448 10810 12295 13060 15019 17296 19672 21620 24590 26120 30038 30691 39344 43240 49180 52240 56557 60076 61382 75095 86480 98360 113114 115573 120152 122764 150190 153455 196720 226228 231146 240304 245528 282785 300380 306910 452456 462292 491056 565570 577865 600760 613820 705893 904912 924584 1131140 1155730 1201520 1227640 1411786 1605727 1849168 2262280 2311460 2455280 2658179 2823572 3211454 3529465 4524560 4622920 5316358 5647144 6422908 7058930 8028635 9245840 10632716 11294288 12845816 13290895 14117860 16057270 21265432 25691632 26581790 28235720 32114540 36931721 42530864 53163580 56471440 64229080 73863442 75469169 106327160 128458160 147726884 150938338 184658605 212654320 295453768 301876676 369317210 377345845 590907536 603753352 738634420 754691690 1207506704 1477268840 1509383380 1735790887 2954537680 3018766760 3471581774 6037533520 6943163548 8678954435 13886327096 17357908870 27772654192 34715817740 69431635480 138863270960