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12994632448 = 287171792383
BaseRepresentation
bin11000001101000101…
…00101101100000000
31020112121200201120021
430012202211230000
5203103111214243
65545240023224
7640006360540
oct140642455400
936477621507
1012994632448
115569149766
122627a61b14
1312c1242835
148b3b6d320
15510c416ed
hex3068a5b00

12994632448 has 144 divisors (see below), whose sum is σ = 31576366080. Its totient is φ = 5210062848.

The previous prime is 12994632401. The next prime is 12994632457. The reversal of 12994632448 is 84423649921.

It is a super-2 number, since 2×129946324482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12994632395 and 12994632404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5451865 + ... + 5454247.

It is an arithmetic number, because the mean of its divisors is an integer number (219280320).

Almost surely, 212994632448 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 12994632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788183040).

12994632448 is an abundant number, since it is smaller than the sum of its proper divisors (18581733632).

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

12994632448 is a wasteful number, since it uses less digits than its factorization.

12994632448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2588 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The spelling of 12994632448 in words is "twelve billion, nine hundred ninety-four million, six hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 179 224 238 256 272 358 448 476 544 716 896 952 1088 1253 1432 1792 1904 2176 2383 2506 2864 3043 3808 4352 4766 5012 5728 6086 7616 9532 10024 11456 12172 15232 16681 19064 20048 21301 22912 24344 30464 33362 38128 40096 40511 42602 45824 48688 66724 76256 80192 81022 85204 97376 133448 152512 160384 162044 170408 194752 266896 283577 305024 320768 324088 340816 389504 426557 533792 567154 610048 648176 681632 779008 853114 1067584 1134308 1296352 1363264 1706228 2135168 2268616 2592704 2726528 2985899 3412456 4270336 4537232 5185408 5453056 5971798 6824912 7251469 9074464 10370816 11943596 13649824 14502938 18148928 23887192 27299648 29005876 36297856 47774384 50760283 54599296 58011752 72595712 95548768 101520566 109198592 116023504 191097536 203041132 232047008 382195072 406082264 464094016 764390144 812164528 928188032 1624329056 1856376064 3248658112 6497316224 12994632448