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10990710144 = 273231130677
BaseRepresentation
bin10100011110001100…
…01110110110000000
31001100221221220221200
422033012032312000
5140002110211034
65014333021200
7536234331501
oct121706166600
931327856850
1010990710144
11472aa73227
122168924800
1310620240ab
14763972ba8
15444d56a99
hex28f18ed80

10990710144 has 96 divisors (see below), whose sum is σ = 31729641840. Its totient is φ = 3651671040.

The previous prime is 10990710139. The next prime is 10990710163. The reversal of 10990710144 is 44101709901.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 10990710099 and 10990710108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342934 + ... + 373610.

Almost surely, 210990710144 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 10990710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864820920).

10990710144 is an abundant number, since it is smaller than the sum of its proper divisors (20738931696).

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

10990710144 is a wasteful number, since it uses less digits than its factorization.

10990710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31008 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10990710144 in words is "ten billion, nine hundred ninety million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 311 384 576 622 933 1152 1244 1866 2488 2799 3732 4976 5598 7464 9952 11196 14928 19904 22392 29856 30677 39808 44784 59712 61354 89568 92031 119424 122708 179136 184062 245416 276093 358272 368124 490832 552186 736248 981664 1104372 1472496 1963328 2208744 2944992 3926656 4417488 5889984 8834976 9540547 11779968 17669952 19081094 28621641 35339904 38162188 57243282 76324376 85864923 114486564 152648752 171729846 228973128 305297504 343459692 457946256 610595008 686919384 915892512 1221190016 1373838768 1831785024 2747677536 3663570048 5495355072 10990710144