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13054313448 = 23321121498429
BaseRepresentation
bin11000010100001100…
…10000001111101000
31020200202222211111200
430022012100033220
5203213401012243
65555211124200
7641332555611
oct141206201750
936622884450
1013054313448
115599901a00
122643a43660
13130070a537
148bba66c08
155160cead3
hex30a1903e8

13054313448 has 72 divisors (see below), whose sum is σ = 38861782050. Its totient is φ = 3955849920.

The previous prime is 13054313429. The next prime is 13054313473. The reversal of 13054313448 is 84431345031.

13054313448 is a `hidden beast` number, since 1 + 305 + 4 + 3 + 1 + 344 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10103868324 + 2950445124 = 100518^2 + 54318^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 740503 + ... + 757926.

Almost surely, 213054313448 is an apocalyptic number.

13054313448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13054313448 is an abundant number, since it is smaller than the sum of its proper divisors (25807468602).

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

13054313448 is a wasteful number, since it uses less digits than its factorization.

13054313448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498463 (or 1498445 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 13054313448 its reverse (84431345031), we get a palindrome (97485658479).

The spelling of 13054313448 in words is "thirteen billion, fifty-four million, three hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 1498429 2996858 4495287 5993716 8990574 11987432 13485861 16482719 17981148 26971722 32965438 35962296 49448157 53943444 65930876 98896314 107886888 131861752 148344471 181309909 197792628 296688942 362619818 395585256 543929727 593377884 725239636 1087859454 1186755768 1450479272 1631789181 2175718908 3263578362 4351437816 6527156724 13054313448