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10942424747928 = 23332312591749469
BaseRepresentation
bin1001111100111011101101…
…0101110000111110011000
31102202002022101122211102000
42133032323111300332120
52413240041213413203
635134514110041000
72206364325464502
oct237167325607630
942662271584360
1010942424747928
113539724557963
12128886baa9160
13614b3513906b
1429b88ab44d72
1513e986c6a4a3
hex9f3bb570f98

10942424747928 has 128 divisors (see below), whose sum is σ = 31742383680000. Its totient is φ = 3486115898496.

The previous prime is 10942424747927. The next prime is 10942424747929. The reversal of 10942424747928 is 82974742424901.

10942424747928 is a `hidden beast` number, since 1 + 0 + 94 + 2 + 4 + 2 + 474 + 79 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10942424747927) and next prime (10942424747929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10942424747923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5379978 + ... + 7129446.

It is an arithmetic number, because the mean of its divisors is an integer number (247987372500).

Almost surely, 210942424747928 is an apocalyptic number.

10942424747928 is a gapful number since it is divisible by the number (18) 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 10942424747928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15871191840000).

10942424747928 is an abundant number, since it is smaller than the sum of its proper divisors (20799958932072).

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

10942424747928 is a wasteful number, since it uses less digits than its factorization.

10942424747928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750766 (or 1750756 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 10942424747928 in words is "ten trillion, nine hundred forty-two billion, four hundred twenty-four million, seven hundred forty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1259 1656 2484 2518 3777 4968 5036 7554 10072 11331 15108 22662 28957 30216 33993 45324 57914 67986 86871 90648 115828 135972 173742 231656 260613 271944 347484 521226 694968 781839 1042452 1563678 1749469 2084904 3127356 3498938 5248407 6254712 6997876 10496814 13995752 15745221 20993628 31490442 40237787 41987256 47235663 62980884 80475574 94471326 120713361 125961768 160951148 188942652 241426722 321902296 362140083 377885304 482853444 724280166 965706888 1086420249 1448560332 2172840498 2202581471 2897120664 4345680996 4405162942 6607744413 8691361992 8810325884 13215488826 17620651768 19823233239 26430977652 39646466478 50659373833 52861955304 59469699717 79292932956 101318747666 118939399434 151978121499 158585865912 202637495332 237878798868 303956242998 405274990664 455934364497 475757597736 607912485996 911868728994 1215824971992 1367803093491 1823737457988 2735606186982 3647474915976 5471212373964 10942424747928