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30053026325408 = 252379975328581
BaseRepresentation
bin1101101010101010000111…
…11101010110001110100000
310221102001010002002012010012
412311111003331112032200
512414342044214403113
6143530100353224052
76221155002620132
oct665250375261640
9127361102065105
1030053026325408
119637464975189
123454589862028
13139ccb017ca68
1475c8079b7052
15371b351b2aa8
hex1b5543f563a0

30053026325408 has 96 divisors (see below), whose sum is σ = 63165437314560. Its totient is φ = 14044943278080.

The previous prime is 30053026325401. The next prime is 30053026325411. The reversal of 30053026325408 is 80452362035003.

It is not an unprimeable number, because it can be changed into a prime (30053026325401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2975678 + ... + 8304258.

It is an arithmetic number, because the mean of its divisors is an integer number (657973305360).

Almost surely, 230053026325408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30053026325408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31582718657280).

30053026325408 is an abundant number, since it is smaller than the sum of its proper divisors (33112410989152).

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

30053026325408 is a wasteful number, since it uses less digits than its factorization.

30053026325408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328790 (or 5328782 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 41.

The spelling of 30053026325408 in words is "thirty trillion, fifty-three billion, twenty-six million, three hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 32 46 79 92 97 158 184 194 316 368 388 632 736 776 1264 1552 1817 2231 2528 3104 3634 4462 7268 7663 8924 14536 15326 17848 29072 30652 35696 58144 61304 71392 122608 176249 245216 352498 704996 1409992 2819984 5328581 5639968 10657162 21314324 42628648 85257296 122557363 170514592 245114726 420957899 490229452 516872357 841915798 980458904 1033744714 1683831596 1960917808 2067489428 3367663192 3921835616 4134978856 6735326384 8269957712 9682031677 11888064211 13470652768 16539915424 19364063354 23776128422 38728126708 40832916203 47552256844 77456253416 81665832406 95104513688 154912506832 163331664812 190209027376 309825013664 326663329624 380418054752 653326659248 939157072669 1306653318496 1878314145338 3756628290676 7513256581352 15026513162704 30053026325408