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13353827168 = 251131571997
BaseRepresentation
bin11000110111111001…
…10011101101100000
31021110122120201002102
430123330303231200
5204322034432133
610045030505532
7651630441503
oct143374635540
937418521072
1013353827168
115732984000
1227082052a8
13134a797ba6
1490975113a
155325447e8
hex31bf33b60

13353827168 has 96 divisors (see below), whose sum is σ = 29116166688. Its totient is φ = 6028239360.

The previous prime is 13353827153. The next prime is 13353827177. The reversal of 13353827168 is 86172835331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6685946 + ... + 6687942.

It is an arithmetic number, because the mean of its divisors is an integer number (303293403).

Almost surely, 213353827168 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 13353827168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558083344).

13353827168 is an abundant number, since it is smaller than the sum of its proper divisors (15762339520).

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

13353827168 is a wasteful number, since it uses less digits than its factorization.

13353827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2167 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The spelling of 13353827168 in words is "thirteen billion, three hundred fifty-three million, eight hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 157 176 242 314 352 484 628 968 1256 1331 1727 1936 1997 2512 2662 3454 3872 3994 5024 5324 6908 7988 10648 13816 15976 18997 21296 21967 27632 31952 37994 42592 43934 55264 63904 75988 87868 151976 175736 208967 241637 303952 313529 351472 417934 483274 607904 627058 702944 835868 966548 1254116 1671736 1933096 2508232 2658007 3343472 3448819 3866192 5016464 5316014 6686944 6897638 7732384 10032928 10632028 13795276 21264056 27590552 37937009 42528112 55181104 75874018 85056224 110362208 151748036 303496072 417307099 606992144 834614198 1213984288 1669228396 3338456792 6676913584 13353827168