Search a number
-
+
10644011014532 = 2271959714776209
BaseRepresentation
bin1001101011100100000001…
…1111101101100110000100
31101200120001102120111100212
42122321000133231212010
52343342413304431112
634345442520054552
72146001341553120
oct232710037554604
941616042514325
1010644011014532
1134341108021a5
12123aa69904458
135c2958b4525c
1428b25c560580
15136d1d996522
hex9ae407ed984

10644011014532 has 96 divisors (see below), whose sum is σ = 23109214464000. Its totient is φ = 4188543367680.

The previous prime is 10644011014531. The next prime is 10644011014537. The reversal of 10644011014532 is 23541011044601.

It is a super-2 number, since 2×106440110145322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10644011014531) 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, 159557 + ... + 4616652.

It is an arithmetic number, because the mean of its divisors is an integer number (240720984000).

Almost surely, 210644011014532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10644011014532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11554607232000).

10644011014532 is an abundant number, since it is smaller than the sum of its proper divisors (12465203449468).

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

10644011014532 is a wasteful number, since it uses less digits than its factorization.

10644011014532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776369 (or 4776367 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 10644011014532 in words is "ten trillion, six hundred forty-four billion, eleven million, fourteen thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 59 71 76 118 133 142 236 266 284 413 497 532 826 994 1121 1349 1652 1988 2242 2698 4189 4484 5396 7847 8378 9443 15694 16756 18886 29323 31388 37772 58646 79591 117292 159182 318364 557137 1114274 2228548 4776209 9552418 19104836 33433463 66866926 90747971 133733852 181495942 281796331 339110839 362991884 563592662 635235797 678221678 1127185324 1270471594 1356443356 1972574317 2373775873 2540943188 3945148634 4747551746 5354130289 6443105941 7890297268 9495103492 10708260578 12886211882 20007539501 21416521156 25772423764 37478912023 40015079002 45101741587 74957824046 80030158004 90203483174 140052776507 149915648092 180406966348 280105553014 380143250519 560211106028 760286501038 1520573002076 2661002753633 5322005507266 10644011014532