Search a number
-
+
3056823269856 = 2532531117179287
BaseRepresentation
bin101100011110111000110…
…111010111100111100000
3101211020012021021110200100
4230132320313113213200
5400040333224113411
610300141335222400
7433563634036626
oct54367067274740
911736167243610
103056823269856
11a79434054424
12414523b17a00
131923460a80c5
14a7d458db516
15547ad143456
hex2c7b8dd79e0

3056823269856 has 144 divisors (see below), whose sum is σ = 8864835636384. Its totient is φ = 998815214592.

The previous prime is 3056823269849. The next prime is 3056823269867. The reversal of 3056823269856 is 6589623286503.

3056823269856 is a `hidden beast` number, since 3 + 0 + 568 + 2 + 3 + 2 + 69 + 8 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3056823269793 and 3056823269802.

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, 16960245 + ... + 17139531.

It is an arithmetic number, because the mean of its divisors is an integer number (61561358586).

Almost surely, 23056823269856 is an apocalyptic number.

3056823269856 is a gapful number since it is divisible by the number (36) 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 3056823269856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432417818192).

3056823269856 is an abundant number, since it is smaller than the sum of its proper divisors (5808012366528).

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

3056823269856 is a wasteful number, since it uses less digits than its factorization.

3056823269856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180473 (or 180462 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 3056823269856 in words is "three trillion, fifty-six billion, eight hundred twenty-three million, two hundred sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1117 1272 1696 1908 2234 2544 3351 3816 4468 5088 6702 7632 8936 10053 13404 15264 17872 20106 26808 35744 40212 53616 59201 80424 107232 118402 160848 177603 179287 236804 321696 355206 358574 473608 532809 537861 710412 717148 947216 1065618 1075722 1420824 1434296 1613583 1894432 2131236 2151444 2841648 2868592 3227166 4262472 4302888 5683296 5737184 6454332 8524944 8605776 9502211 12908664 17049888 17211552 19004422 25817328 28506633 38008844 51634656 57013266 76017688 85519899 114026532 152035376 171039798 200263579 228053064 304070752 342079596 400527158 456106128 600790737 684159192 801054316 912212256 1201581474 1368318384 1602108632 1802372211 2403162948 2736636768 3204217264 3604744422 4806325896 6408434528 7209488844 9612651792 10613969687 14418977688 19225303584 21227939374 28837955376 31841909061 42455878748 57675910752 63683818122 84911757496 95525727183 127367636244 169823514992 191051454366 254735272488 339647029984 382102908732 509470544976 764205817464 1018941089952 1528411634928 3056823269856