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12923647488 = 293214391949
BaseRepresentation
bin11000000100100111…
…10011011000000000
31020100200010022111200
430002103303120000
5202431423204423
65534222341200
7635155122363
oct140223633000
936320108450
1012923647488
115532075704
12260812a800
1312ac61a8bb
148a85720da
155098bdd43
hex3024f3600

12923647488 has 120 divisors (see below), whose sum is σ = 37343592000. Its totient is φ = 4302680064.

The previous prime is 12923647483. The next prime is 12923647511. The reversal of 12923647488 is 88474632921.

12923647488 is a `hidden beast` number, since 1 + 2 + 92 + 3 + 6 + 474 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923647483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6629938 + ... + 6631886.

It is an arithmetic number, because the mean of its divisors is an integer number (311196600).

Almost surely, 212923647488 is an apocalyptic number.

12923647488 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 12923647488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671796000).

12923647488 is an abundant number, since it is smaller than the sum of its proper divisors (24419944512).

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

12923647488 is a wasteful number, since it uses less digits than its factorization.

12923647488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3393 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 12923647488 in words is "twelve billion, nine hundred twenty-three million, six hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1439 1536 1949 2304 2878 3898 4317 4608 5756 5847 7796 8634 11512 11694 12951 15592 17268 17541 23024 23388 25902 31184 34536 35082 46048 46776 51804 62368 69072 70164 92096 93552 103608 124736 138144 140328 184192 187104 207216 249472 276288 280656 368384 374208 414432 498944 552576 561312 736768 748416 828864 997888 1105152 1122624 1496832 1657728 2210304 2245248 2804611 2993664 3315456 4490496 5609222 6630912 8413833 8980992 11218444 16827666 22436888 25241499 33655332 44873776 50482998 67310664 89747552 100965996 134621328 179495104 201931992 269242656 358990208 403863984 538485312 717980416 807727968 1076970624 1435960832 1615455936 2153941248 3230911872 4307882496 6461823744 12923647488