Search a number
-
+
126403165015350 = 235219712473342949
BaseRepresentation
bin11100101111011010000111…
…101111111100110100110110
3121120120000122220102101200020
4130233122013233330310312
5113031442140220442400
61124500451245230010
735424220156610346
oct3457320757746466
9546500586371606
10126403165015350
1137304310366923
1212215944262306
13556b9c8a37842
14232dd35500d26
15e93082cc42a0
hex72f687bfcd36

126403165015350 has 96 divisors (see below), whose sum is σ = 315097296544800. Its totient is φ = 33533620055040.

The previous prime is 126403165015321. The next prime is 126403165015367. The reversal of 126403165015350 is 53510561304621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 368405676 + ... + 368748624.

It is an arithmetic number, because the mean of its divisors is an integer number (3282263505675).

Almost surely, 2126403165015350 is an apocalyptic number.

126403165015350 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 126403165015350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157548648272400).

126403165015350 is an abundant number, since it is smaller than the sum of its proper divisors (188694131529450).

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

126403165015350 is a wasteful number, since it uses less digits than its factorization.

126403165015350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355634 (or 355629 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 126403165015350 in words is "one hundred twenty-six trillion, four hundred three billion, one hundred sixty-five million, fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 197 394 591 985 1182 1970 2955 4925 5910 9850 12473 14775 24946 29550 37419 62365 74838 124730 187095 311825 342949 374190 623650 685898 935475 1028847 1714745 1870950 2057694 2457181 3429490 4914362 5144235 7371543 8573725 10288470 12285905 14743086 17147450 24571810 25721175 36857715 51442350 61429525 67560953 73715430 122859050 135121906 184288575 202682859 337804765 368577150 405365718 675609530 1013414295 1689023825 2026828590 3378047650 4277602877 5067071475 8555205754 10134142950 12832808631 21388014385 25665617262 42776028770 64164043155 106940071925 128328086310 213880143850 320820215775 641640431550 842687766769 1685375533538 2528063300307 4213438833845 5056126600614 8426877667690 12640316501535 21067194169225 25280633003070 42134388338450 63201582507675 126403165015350