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10896311790 = 23257213190063
BaseRepresentation
bin10100010010111100…
…01000010111101110
31001010101022222202100
422021132020113232
5134303423434130
65001121435530
7534010056600
oct121136102756
931111288670
1010896311790
114691758361
12214119bba6
1310485c2190
147551dd170
1543b90bc60
hex2897885ee

10896311790 has 144 divisors (see below), whose sum is σ = 35491030848. Its totient is φ = 2298989952.

The previous prime is 10896311761. The next prime is 10896311791. The reversal of 10896311790 is 9711369801.

10896311790 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 631 + 1 + 7 + 9 + 0 = 666.

10896311790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×108963117902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10896311791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37702 + ... + 152361.

It is an arithmetic number, because the mean of its divisors is an integer number (246465492).

Almost surely, 210896311790 is an apocalyptic number.

10896311790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10896311790 is an abundant number, since it is smaller than the sum of its proper divisors (24594719058).

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

10896311790 is a wasteful number, since it uses less digits than its factorization.

10896311790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190103 (or 190093 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 10896311790 in words is "ten billion, eight hundred ninety-six million, three hundred eleven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 190063 380126 570189 950315 1140378 1330441 1710567 1900630 2470819 2660882 2850945 3421134 3991323 4941638 5701890 6652205 7412457 7982646 8552835 9313087 11973969 12354095 13304410 14824914 17105670 17295733 18626174 19956615 22237371 23947938 24708190 27939261 34591466 37062285 39913230 44474742 46565435 51887199 55878522 59869845 74124570 83817783 86478665 93130870 103774398 111186855 119739690 121070131 139696305 155661597 167635566 172957330 222373710 242140262 259435995 279392610 311323194 363210393 419088915 518871990 605350655 726420786 778307985 838177830 1089631179 1210701310 1556615970 1816051965 2179262358 3632103930 5448155895 10896311790