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12053155405300 = 2252376917470957
BaseRepresentation
bin1010111101100101100000…
…0010111101110111110100
31120200021022010100110202021
42233121120002331313310
53034434330240432200
641345050530522524
72352545266342432
oct257313002756764
946607263313667
1012053155405300
113927795001629
121427b95436444
136957b90b6129
142d9539409d52
1515d7e480541a
hexaf6580bddf4

12053155405300 has 72 divisors (see below), whose sum is σ = 26866189063224. Its totient is φ = 4690269642240.

The previous prime is 12053155405283. The next prime is 12053155405327. The reversal of 12053155405300 is 350455135021.

It can be written as a sum of positive squares in 12 ways, for example, as 211050197604 + 11842105207696 = 459402^2 + 3441236^2 .

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, 25357422 + ... + 25828378.

It is an arithmetic number, because the mean of its divisors is an integer number (373141514767).

Almost surely, 212053155405300 is an apocalyptic number.

12053155405300 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 12053155405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433094531612).

12053155405300 is an abundant number, since it is smaller than the sum of its proper divisors (14813033657924).

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

12053155405300 is a wasteful number, since it uses less digits than its factorization.

12053155405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477925 (or 477918 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 34.

The spelling of 12053155405300 in words is "twelve trillion, fifty-three billion, one hundred fifty-five million, four hundred five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 6917 13834 27668 34585 69170 138340 172925 255929 345850 470957 511858 691700 941914 1023716 1279645 1883828 2354785 2559290 4709570 5118580 6398225 9419140 11773925 12796450 17425409 23547850 25592900 34850818 47095700 69701636 87127045 174254090 348508180 435635225 871270450 1742540900 3257609569 6515219138 13030438276 16288047845 32576095690 65152191380 81440239225 120531554053 162880478450 241063108106 325760956900 482126216212 602657770265 1205315540530 2410631081060 3013288851325 6026577702650 12053155405300