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12453032448 = 29332931063
BaseRepresentation
bin10111001100100001…
…00011001000000000
31012010212120121001000
423212100203020000
5201000434014243
65415411412000
7620412013023
oct134620431000
935125517030
1012453032448
11531045965a
1224b65b4000
131235c8386c
14861c691ba
154cd40c5d3
hex2e6423200

12453032448 has 160 divisors (see below), whose sum is σ = 38134166400. Its totient is φ = 4007743488.

The previous prime is 12453032443. The next prime is 12453032461. The reversal of 12453032448 is 84423035421.

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

It is not an unprimeable number, because it can be changed into a prime (12453032443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385365 + ... + 416427.

It is an arithmetic number, because the mean of its divisors is an integer number (238338540).

Almost surely, 212453032448 is an apocalyptic number.

12453032448 is a gapful number since it is divisible by the number (18) 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 12453032448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19067083200).

12453032448 is an abundant number, since it is smaller than the sum of its proper divisors (25681133952).

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

12453032448 is an equidigital number, since it uses as much as digits as its factorization.

12453032448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31119 (or 31097 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 12453032448 its reverse (84423035421), we get a palindrome (96876067869).

The spelling of 12453032448 in words is "twelve billion, four hundred fifty-three million, thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8352 11136 12528 13824 14848 16704 22272 25056 31063 33408 44544 50112 62126 66816 93189 100224 124252 133632 186378 200448 248504 279567 372756 400896 497008 559134 745512 838701 900827 994016 1118268 1491024 1677402 1801654 1988032 2236536 2702481 2982048 3354804 3603308 3976064 4473072 5404962 5964096 6709608 7206616 7952128 8107443 8946144 10809924 11928192 13419216 14413232 15904256 16214886 17892288 21619848 23856384 24322329 26838432 28826464 32429772 35784576 43239696 47712768 48644658 53676864 57652928 64859544 71569152 86479392 97289316 107353728 115305856 129719088 143138304 172958784 194578632 214707456 230611712 259438176 345917568 389157264 429414912 461223424 518876352 691835136 778314528 1037752704 1383670272 1556629056 2075505408 3113258112 4151010816 6226516224 12453032448