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10942944048 = 2433231378039
BaseRepresentation
bin10100011000100000…
…00001001100110000
31001020122002011012000
422030100001030300
5134402343202143
65005505134000
7535114326651
oct121420011460
931218064160
1010942944048
114706008913
12215492a300
13105516b72a
1475b49b528
15440a6dbd3
hex28c401330

10942944048 has 160 divisors (see below), whose sum is σ = 33019315200. Its totient is φ = 3463156224.

The previous prime is 10942944029. The next prime is 10942944097. The reversal of 10942944048 is 84044924901.

It is a junction number, because it is equal to n+sod(n) for n = 10942943994 and 10942944012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1357213 + ... + 1365251.

It is an arithmetic number, because the mean of its divisors is an integer number (206370720).

Almost surely, 210942944048 is an apocalyptic number.

10942944048 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 10942944048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509657600).

10942944048 is an abundant number, since it is smaller than the sum of its proper divisors (22076371152).

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

10942944048 is a wasteful number, since it uses less digits than its factorization.

10942944048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8216 (or 8204 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10942944048 in words is "ten billion, nine hundred forty-two million, nine hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 137 138 144 184 207 216 274 276 368 411 414 432 548 552 621 822 828 1096 1104 1233 1242 1644 1656 2192 2466 2484 3151 3288 3312 3699 4932 4968 6302 6576 7398 8039 9453 9864 9936 12604 14796 16078 18906 19728 24117 25208 28359 29592 32156 37812 48234 50416 56718 59184 64312 72351 75624 85077 96468 113436 128624 144702 151248 170154 184897 192936 217053 226872 289404 340308 369794 385872 434106 453744 554691 578808 680616 739588 868212 1101343 1109382 1157616 1361232 1479176 1664073 1736424 2202686 2218764 2958352 3304029 3328146 3472848 4405372 4437528 4992219 6608058 6656292 8810744 8875056 9912087 9984438 13216116 13312584 17621488 19824174 19968876 25330889 26432232 26625168 29736261 39648348 39937752 50661778 52864464 59472522 75992667 79296696 79875504 101323556 118945044 151985334 158593392 202647112 227978001 237890088 303970668 405294224 455956002 475780176 607941336 683934003 911912004 1215882672 1367868006 1823824008 2735736012 3647648016 5471472024 10942944048