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853260035130 = 2325199239199337
BaseRepresentation
bin11000110101010100100…
…00101110010000111010
310000120102011021212002100
430122222100232100322
5102434434032111010
61451552055444230
7115434402426246
oct14325220562072
93016364255070
10853260035130
112a9958055458
1211944b086676
1362601247b69
142d425a2b426
15172dde932c0
hexc6aa42e43a

853260035130 has 96 divisors (see below), whose sum is σ = 2238964416000. Its totient is φ = 225444231936.

The previous prime is 853260035113. The next prime is 853260035137. The reversal of 853260035130 is 31530062358.

853260035130 is a `hidden beast` number, since 8 + 5 + 3 + 2 + 600 + 35 + 13 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (853260035137) 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, 4180822 + ... + 4380158.

It is an arithmetic number, because the mean of its divisors is an integer number (23322546000).

Almost surely, 2853260035130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853260035130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119482208000).

853260035130 is an abundant number, since it is smaller than the sum of its proper divisors (1385704380870).

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

853260035130 is a wasteful number, since it uses less digits than its factorization.

853260035130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199788 (or 199785 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 853260035130 its reverse (31530062358), we get a palindrome (884790097488).

It can be divided in two parts, 8532600 and 35130, that added together give a triangular number (8567730 = T4139).

The spelling of 853260035130 in words is "eight hundred fifty-three billion, two hundred sixty million, thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 239 398 478 597 717 995 1194 1195 1434 1791 1990 2151 2390 2985 3582 3585 4302 5970 7170 8955 10755 17910 21510 47561 95122 142683 199337 237805 285366 398674 428049 475610 598011 713415 856098 996685 1196022 1426830 1794033 1993370 2140245 2990055 3588066 4280490 5980110 8970165 17940330 39668063 47641543 79336126 95283086 119004189 142924629 198340315 238008378 238207715 285849258 357012567 396680630 428773887 476415430 595020945 714025134 714623145 857547774 1190041890 1429246290 1785062835 2143869435 3570125670 4287738870 9480667057 18961334114 28442001171 47403335285 56884002342 85326003513 94806670570 142210005855 170652007026 284420011710 426630017565 853260035130