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10941296016 = 2437172338221
BaseRepresentation
bin10100011000010011…
…01110110110010000
31001020111222102111210
422030021232312100
5134401432433031
65005405540120
7535064324130
oct121411566620
931214872453
1010941296016
114705092702
122154274640
131054a12571
1475b18cac0
15440845746
hex28c26ed90

10941296016 has 160 divisors (see below), whose sum is σ = 34354015488. Its totient is φ = 2929213440.

The previous prime is 10941295993. The next prime is 10941296017. The reversal of 10941296016 is 61069214901.

It is not an unprimeable number, because it can be changed into a prime (10941296017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1326786 + ... + 1335006.

Almost surely, 210941296016 is an apocalyptic number.

10941296016 is a gapful number since it is divisible by the number (16) 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 10941296016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177007744).

10941296016 is an abundant number, since it is smaller than the sum of its proper divisors (23412719472).

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

10941296016 is a wasteful number, since it uses less digits than its factorization.

10941296016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8483 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The spelling of 10941296016 in words is "ten billion, nine hundred forty-one million, two hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 233 238 272 336 357 408 466 476 699 714 816 932 952 1398 1428 1631 1864 1904 2796 2856 3262 3728 3961 4893 5592 5712 6524 7922 8221 9786 11184 11883 13048 15844 16442 19572 23766 24663 26096 27727 31688 32884 39144 47532 49326 55454 57547 63376 65768 78288 83181 95064 98652 110908 115094 131536 139757 166362 172641 190128 197304 221816 230188 279514 332724 345282 394608 419271 443632 460376 559028 665448 690564 838542 920752 978299 1118056 1330896 1381128 1677084 1915493 1956598 2236112 2762256 2934897 3354168 3830986 3913196 5746479 5869794 6708336 7661972 7826392 11492958 11739588 13408451 15323944 15652784 22985916 23479176 26816902 30647888 32563381 40225353 45971832 46958352 53633804 65126762 80450706 91943664 97690143 107267608 130253524 160901412 195380286 214535216 227943667 260507048 321802824 390760572 455887334 521014096 643605648 683831001 781521144 911774668 1367662002 1563042288 1823549336 2735324004 3647098672 5470648008 10941296016