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13201287773352 = 23372353346718593
BaseRepresentation
bin1100000000011010101000…
…0100010111110010101000
31201202000211102221212201020
43000012222010113302220
53212242214132221402
644024330552052440
72531522134423560
oct300065204276250
951660742855636
1013201287773352
11422a6a8878098
1215925b8694120
13749b50a21353
14338d35163da0
1517d5e0bd38bc
hexc01aa117ca8

13201287773352 has 256 divisors, whose sum is σ = 40114201743360. Its totient is φ = 3538522251264.

The previous prime is 13201287773273. The next prime is 13201287773423. The reversal of 13201287773352 is 25337778210231.

It is a super-2 number, since 2×132012877733522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13201287773295 and 13201287773304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710004568 + ... + 710023160.

It is an arithmetic number, because the mean of its divisors is an integer number (156696100560).

Almost surely, 213201287773352 is an apocalyptic number.

13201287773352 is a gapful number since it is divisible by the number (12) 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 13201287773352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057100871680).

13201287773352 is an abundant number, since it is smaller than the sum of its proper divisors (26912913970008).

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

13201287773352 is a wasteful number, since it uses less digits than its factorization.

13201287773352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22152 (or 22148 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 13201287773352 in words is "thirteen trillion, two hundred one billion, two hundred eighty-seven million, seven hundred seventy-three thousand, three hundred fifty-two".