Search a number
-
+
1063103128896 = 263100912974231
BaseRepresentation
bin11110111100001011110…
…00100110010101000000
310202122001111002111211010
433132011320212111000
5114404213400111041
62132214405320520
7136543454332524
oct17360570462500
93678044074733
101063103128896
1137a950001696
12152053106140
13793338a7c73
14396510a9d84
151c9c162ea16
hexf785e26540

1063103128896 has 112 divisors (see below), whose sum is σ = 2818418218880. Its totient is φ = 353659944960.

The previous prime is 1063103128891. The next prime is 1063103128931. The reversal of 1063103128896 is 6988213013601.

It is a super-2 number, since 2×10631031288962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063103128891) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251263101 + ... + 251267331.

Almost surely, 21063103128896 is an apocalyptic number.

1063103128896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1063103128896 is an abundant number, since it is smaller than the sum of its proper divisors (1755315089984).

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

1063103128896 is a wasteful number, since it uses less digits than its factorization.

1063103128896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 1063103128896 in words is "one trillion, sixty-three billion, one hundred three million, one hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1009 1297 2018 2594 3027 3891 4036 4231 5188 6054 7782 8072 8462 10376 12108 12693 15564 16144 16924 20752 24216 25386 31128 32288 33848 41504 48432 50772 62256 64576 67696 83008 96864 101544 124512 135392 193728 203088 249024 270784 406176 812352 1308673 2617346 3926019 4269079 5234692 5487607 7852038 8538158 10469384 10975214 12807237 15704076 16462821 17076316 20938768 21950428 25614474 31408152 32925642 34152632 41877536 43900856 51228948 62816304 65851284 68305264 83755072 87801712 102457896 125632608 131702568 136610528 175603424 204915792 251265216 263405136 273221056 351206848 409831584 526810272 819663168 1053620544 5536995463 11073990926 16610986389 22147981852 33221972778 44295963704 66443945556 88591927408 132887891112 177183854816 265775782224 354367709632 531551564448 1063103128896