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126087045390 = 237541140617
BaseRepresentation
bin111010101101101011…
…1111010000100001110
3110001110020000120000000
41311123113322010032
54031211240423030
6133531254545130
712052361126265
oct1653327720416
9401406016000
10126087045390
1149522939449
122052a3681a6
13bb7530c287
1461619335dc
15342e584860
hex1d5b5fa10e

126087045390 has 128 divisors (see below), whose sum is σ = 348687642240. Its totient is φ = 32802900480.

The previous prime is 126087045361. The next prime is 126087045433. The reversal of 126087045390 is 93540780621.

126087045390 is a `hidden beast` number, since 1 + 2 + 608 + 7 + 0 + 4 + 5 + 39 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826362 + ... + 966978.

It is an arithmetic number, because the mean of its divisors is an integer number (2724122205).

It is a 1-persistent number, because it is pandigital, but 2⋅126087045390 = 252174090780 is not.

Almost surely, 2126087045390 is an apocalyptic number.

126087045390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126087045390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174343821120).

126087045390 is an abundant number, since it is smaller than the sum of its proper divisors (222600596850).

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

126087045390 is an equidigital number, since it uses as much as digits as its factorization.

126087045390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140686 (or 140668 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 126087045390 in words is "one hundred twenty-six billion, eighty-seven million, forty-five thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 410 486 615 729 738 810 1107 1215 1230 1458 1845 2187 2214 2430 3321 3645 3690 4374 5535 6642 7290 9963 10935 11070 16605 19926 21870 29889 33210 49815 59778 89667 99630 140617 149445 179334 281234 298890 421851 448335 703085 843702 896670 1265553 1406170 2109255 2531106 3796659 4218510 5765297 6327765 7593318 11389977 11530594 12655530 17295891 18983295 22779954 28826485 34169931 34591782 37966590 51887673 56949885 57652970 68339862 86479455 102509793 103775346 113899770 155663019 170849655 172958910 205019586 259438365 307529379 311326038 341699310 466989057 512548965 518876730 615058758 778315095 933978114 1025097930 1400967171 1537646895 1556630190 2334945285 2801934342 3075293790 4202901513 4669890570 7004835855 8405803026 12608704539 14009671710 21014507565 25217409078 42029015130 63043522695 126087045390