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12313454448 = 24331379109
BaseRepresentation
bin10110111011111000…
…00110011101110000
31011210010221022000110
423131330012131300
5200204221020243
65353504021320
7614065431051
oct133574063560
934703838013
1012313454448
115249695639
122477901840
131213093629
1484b4d4728
154c103ae33
hex2ddf06770

12313454448 has 160 divisors (see below), whose sum is σ = 33591500800. Its totient is φ = 3885822720.

The previous prime is 12313454443. The next prime is 12313454453. The reversal of 12313454448 is 84445431321.

It is an interprime number because it is at equal distance from previous prime (12313454443) and next prime (12313454453).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313454441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112967418 + ... + 112967526.

It is an arithmetic number, because the mean of its divisors is an integer number (209946880).

Almost surely, 212313454448 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 12313454448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795750400).

12313454448 is an abundant number, since it is smaller than the sum of its proper divisors (21278046352).

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

12313454448 is an equidigital number, since it uses as much as digits as its factorization.

12313454448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 224 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

Adding to 12313454448 its reverse (84445431321), we get a palindrome (96758885769).

The spelling of 12313454448 in words is "twelve billion, three hundred thirteen million, four hundred fifty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 79 93 109 124 158 186 218 237 248 316 327 372 436 474 496 632 654 744 872 948 961 1264 1308 1488 1744 1896 1922 2449 2616 2883 3379 3792 3844 4898 5232 5766 6758 7347 7688 8611 9796 10137 11532 13516 14694 15376 17222 19592 20274 23064 25833 27032 29388 29791 34444 39184 40548 46128 51666 54064 58776 59582 68888 75919 81096 89373 103332 104749 117552 119164 137776 151838 162192 178746 206664 209498 227757 238328 266941 303676 314247 357492 413328 418996 455514 476656 533882 607352 628494 714984 800823 837992 911028 1067764 1214704 1256988 1429968 1601646 1675984 1822056 2135528 2353489 2513976 3203292 3247219 3644112 4271056 4706978 5027952 6406584 6494438 7060467 8275171 9413956 9741657 12813168 12988876 14120934 16550342 18827912 19483314 24825513 25977752 28241868 33100684 37655824 38966628 49651026 51955504 56483736 66201368 77933256 99302052 112967472 132402736 155866512 198604104 256530301 397208208 513060602 769590903 1026121204 1539181806 2052242408 3078363612 4104484816 6156727224 12313454448