Search a number
-
+
10690398432 = 253277174687
BaseRepresentation
bin10011111010011001…
…01000100011100000
31000121000212111201200
421331030220203200
5133343220222212
64524444201200
7525626613240
oct117514504340
930530774650
1010690398432
1145964a662a
1220a4239200
131014a4745c
14735b1bb20
154287d56dc
hex27d3288e0

10690398432 has 144 divisors (see below), whose sum is σ = 35233615872. Its totient is φ = 3011339520.

The previous prime is 10690398427. The next prime is 10690398449. The reversal of 10690398432 is 23489309601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106903984322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105793 + ... + 180479.

It is an arithmetic number, because the mean of its divisors is an integer number (244677888).

Almost surely, 210690398432 is an apocalyptic number.

10690398432 is a gapful number since it is divisible by the number (12) 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 10690398432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616807936).

10690398432 is an abundant number, since it is smaller than the sum of its proper divisors (24543217440).

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

10690398432 is a wasteful number, since it uses less digits than its factorization.

10690398432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74781 (or 74770 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10690398432 in words is "ten billion, six hundred ninety million, three hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7952 8946 10224 11928 15904 17892 20448 23856 35784 47712 71568 74687 143136 149374 224061 298748 448122 522809 597496 672183 896244 1045618 1194992 1344366 1568427 1792488 2091236 2389984 2688732 3136854 3584976 4182472 4705281 5302777 5377464 6273708 7169952 8364944 9410562 10605554 10754928 12547416 15908331 16729888 18821124 21211108 21509856 25094832 31816662 37119439 37642248 42422216 47724993 50189664 63633324 74238878 75284496 84844432 95449986 111358317 127266648 148477756 150568992 169688864 190899972 222716634 254533296 296955512 334074951 381799944 445433268 509066592 593911024 668149902 763599888 890866536 1187822048 1336299804 1527199776 1781733072 2672599608 3563466144 5345199216 10690398432