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10013610703376 = 2471721033003569
BaseRepresentation
bin1001000110110111100110…
…1101010111101000010000
31022110021212202011121211102
42101231321231113220100
52303030333320002001
633144104513403532
72052313415410250
oct221557155275020
938407782147742
1010013610703376
113210826207a05
121158855b695a8
13578382c02867
14268938a29960
15125724cc8e6b
hex91b79b57a10

10013610703376 has 120 divisors (see below), whose sum is σ = 23782699774080. Its totient is φ = 3999887548416.

The previous prime is 10013610703331. The next prime is 10013610703409. The reversal of 10013610703376 is 67330701631001.

10013610703376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1832120 + ... + 4835688.

It is an arithmetic number, because the mean of its divisors is an integer number (198189164784).

Almost surely, 210013610703376 is an apocalyptic number.

10013610703376 is a gapful number since it is divisible by the number (16) 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 10013610703376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891349887040).

10013610703376 is an abundant number, since it is smaller than the sum of its proper divisors (13769089070704).

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

10013610703376 is a wasteful number, since it uses less digits than its factorization.

10013610703376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003721 (or 3003698 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 38.

The spelling of 10013610703376 in words is "ten trillion, thirteen billion, six hundred ten million, seven hundred three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 103 112 119 136 206 238 272 289 412 476 578 721 824 952 1156 1442 1648 1751 1904 2023 2312 2884 3502 4046 4624 5768 7004 8092 11536 12257 14008 16184 24514 28016 29767 32368 49028 59534 98056 119068 196112 208369 238136 416738 476272 833476 1666952 3003569 3333904 6007138 12014276 21024983 24028552 42049966 48057104 51060673 84099932 102121346 168199864 204242692 309367607 336399728 357424711 408485384 618735214 714849422 816970768 868031441 1237470428 1429698844 1736062882 2165573249 2474940856 2859397688 3472125764 4331146498 4949881712 5259249319 5718795376 6076220087 6944251528 8662292996 10518498638 12152440174 13888503056 17324585992 21036997276 24304880348 34649171984 36814745233 42073994552 48609760696 73629490466 84147989104 89407238423 97219521392 147258980932 178814476846 294517961864 357628953692 589035923728 625850668961 715257907384 1251701337922 1430515814768 2503402675844 5006805351688 10013610703376