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245120533050 = 235229316373407
BaseRepresentation
bin1110010001001001010…
…0101000001000111010
3212102200212112020211010
43210102110220020322
513004001324024200
6304335023414350
723465213103411
oct3442224501072
9772625466733
10245120533050
1194a56172538
123b60a4543b6
131a1651b2a43
14bc14768478
156599771150
hex391252823a

245120533050 has 96 divisors (see below), whose sum is σ = 610525423872. Its totient is φ = 65083482880.

The previous prime is 245120532991. The next prime is 245120533051. The reversal of 245120533050 is 50335021542.

It is a super-2 number, since 2×2451205330502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 245120532999 and 245120533017.

It is not an unprimeable number, because it can be changed into a prime (245120533051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71944447 + ... + 71947853.

It is an arithmetic number, because the mean of its divisors is an integer number (6359639832).

Almost surely, 2245120533050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245120533050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305262711936).

245120533050 is an abundant number, since it is smaller than the sum of its proper divisors (365404890822).

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

245120533050 is a wasteful number, since it uses less digits than its factorization.

245120533050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 245120533050 its reverse (50335021542), we get a palindrome (295455554592).

The spelling of 245120533050 in words is "two hundred forty-five billion, one hundred twenty million, five hundred thirty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 293 586 879 1465 1637 1758 2930 3274 3407 4395 4911 6814 7325 8185 8790 9822 10221 14650 16370 17035 20442 21975 24555 34070 40925 43950 49110 51105 81850 85175 102210 122775 170350 245550 255525 479641 511050 959282 998251 1438923 1996502 2398205 2877846 2994753 4796410 4991255 5577259 5989506 7194615 9982510 11154518 11991025 14389230 14973765 16731777 23982050 24956275 27886295 29947530 33463554 35973075 49912550 55772590 71946150 74868825 83658885 139431475 149737650 167317770 278862950 418294425 836588850 1634136887 3268273774 4902410661 8170684435 9804821322 16341368870 24512053305 40853422175 49024106610 81706844350 122560266525 245120533050