Search a number
-
+
10531896451920 = 2433519125528157
BaseRepresentation
bin1001100101000010010111…
…1100100110001101010000
31101021211122222020121102000
42121100211330212031100
52340023310442430140
634222141511554000
72134622132524104
oct231204574461520
941254588217360
1010531896451920
1133a0608a87988
12122119a98b900
135b51cc52bc8c
14285a645bd904
15133e5ae0ba30
hex99425f26350

10531896451920 has 160 divisors (see below), whose sum is σ = 36466463139840. Its totient is φ = 2793801392640.

The previous prime is 10531896451903. The next prime is 10531896451943. The reversal of 10531896451920 is 2915469813501.

10531896451920 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 18 + 96 + 4 + 519 + 20 = 666.

It is a super-2 number, since 2×105318964519202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12351519 + ... + 13176638.

It is an arithmetic number, because the mean of its divisors is an integer number (227915394624).

Almost surely, 210531896451920 is an apocalyptic number.

10531896451920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10531896451920 is an abundant number, since it is smaller than the sum of its proper divisors (25934566687920).

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

10531896451920 is a wasteful number, since it uses less digits than its factorization.

10531896451920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528370 (or 25528358 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10531896451920 in words is "ten trillion, five hundred thirty-one billion, eight hundred ninety-six million, four hundred fifty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 191 216 240 270 360 382 432 540 573 720 764 955 1080 1146 1528 1719 1910 2160 2292 2865 3056 3438 3820 4584 5157 5730 6876 7640 8595 9168 10314 11460 13752 15280 17190 20628 22920 25785 27504 34380 41256 45840 51570 68760 82512 103140 137520 206280 412560 25528157 51056314 76584471 102112628 127640785 153168942 204225256 229753413 255281570 306337884 382922355 408450512 459506826 510563140 612675768 689260239 765844710 919013652 1021126280 1148767065 1225351536 1378520478 1531689420 1838027304 2042252560 2297534130 2757040956 3063378840 3446301195 3676054608 4595068260 4875877987 5514081912 6126757680 6892602390 9190136520 9751755974 11028163824 13785204780 14627633961 18380273040 19503511948 24379389935 27570409560 29255267922 39007023896 43882901883 48758779870 55140819120 58510535844 73138169805 78014047792 87765803766 97517559740 117021071688 131648705649 146276339610 175531607532 195035119480 219414509415 234042143376 263297411298 292552679220 351063215064 390070238960 438829018830 526594822596 585105358440 658243528245 702126430128 877658037660 1053189645192 1170210716880 1316487056490 1755316075320 2106379290384 2632974112980 3510632150640 5265948225960 10531896451920