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825365636130 = 23575985777731
BaseRepresentation
bin11000000001010111010…
…00000010010000100010
32220220102011001120021110
430000223220002100202
5102010322100324010
61431100122004150
7113426221102650
oct14005350022042
92826364046243
10825365636130
11299043425642
12113b65346656
135caa7182119
142bd3b0c9dd0
151670a13b120
hexc02ba02422

825365636130 has 128 divisors (see below), whose sum is σ = 2304946575360. Its totient is φ = 185238673920.

The previous prime is 825365636113. The next prime is 825365636213. The reversal of 825365636130 is 31636563528.

It is a super-2 number, since 2×8253656361302 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825365636130.

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, 10579365 + ... + 10657095.

It is an arithmetic number, because the mean of its divisors is an integer number (18007395120).

Almost surely, 2825365636130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825365636130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152473287680).

825365636130 is an abundant number, since it is smaller than the sum of its proper divisors (1479580939230).

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

825365636130 is a wasteful number, since it uses less digits than its factorization.

825365636130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78664.

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 825365636130 in words is "eight hundred twenty-five billion, three hundred sixty-five million, six hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 59 70 105 118 177 210 295 354 413 590 826 857 885 1239 1714 1770 2065 2478 2571 4130 4285 5142 5999 6195 8570 11998 12390 12855 17997 25710 29995 35994 50563 59990 77731 89985 101126 151689 155462 179970 233193 252815 303378 353941 388655 466386 505630 544117 707882 758445 777310 1061823 1088234 1165965 1516890 1632351 1769705 2123646 2331930 2720585 3264702 3539410 4586129 5309115 5441170 8161755 9172258 10618230 13758387 16323510 22930645 27516774 32102903 45861290 64205806 66615467 68791935 96308709 133230934 137583870 160514515 192617418 199846401 321029030 333077335 399692802 466308269 481543545 666154670 932616538 963087090 999232005 1398924807 1998464010 2331541345 2797849614 3930312553 4663082690 6994624035 7860625106 11790937659 13989248070 19651562765 23581875318 27512187871 39303125530 55024375742 58954688295 82536563613 117909376590 137560939355 165073127226 275121878710 412682818065 825365636130