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103209163456 = 2674723920509
BaseRepresentation
bin110000000011110111…
…1101101101011000000
3100212101211020201220111
41200013233231223000
53142333021212311
6115225202321104
710312422262120
oct1400757555300
9325354221814
10103209163456
113a852978103
1218004659194
13996a639129
144dd1352c80
152a40d47d21
hex1807bedac0

103209163456 has 112 divisors (see below), whose sum is σ = 240055603200. Its totient is φ = 43108144128.

The previous prime is 103209163423. The next prime is 103209163483. The reversal of 103209163456 is 654361902301.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5022130 + ... + 5042638.

It is an arithmetic number, because the mean of its divisors is an integer number (2143353600).

Almost surely, 2103209163456 is an apocalyptic number.

103209163456 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 103209163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120027801600).

103209163456 is an abundant number, since it is smaller than the sum of its proper divisors (136846439744).

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

103209163456 is a wasteful number, since it uses less digits than its factorization.

103209163456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20814 (or 20804 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 103209163456 in words is "one hundred three billion, two hundred nine million, one hundred sixty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 239 329 376 448 478 658 752 956 1316 1504 1673 1912 2632 3008 3346 3824 5264 6692 7648 10528 11233 13384 15296 20509 21056 22466 26768 41018 44932 53536 78631 82036 89864 107072 143563 157262 164072 179728 287126 314524 328144 359456 574252 629048 656288 718912 963923 1148504 1258096 1312576 1927846 2297008 2516192 3855692 4594016 4901651 5032384 6747461 7711384 9188032 9803302 13494922 15422768 19606604 26989844 30845536 34311557 39213208 53979688 61691072 68623114 78426416 107959376 137246228 156852832 215918752 230377597 274492456 313705664 431837504 460755194 548984912 921510388 1097969824 1612643179 1843020776 2195939648 3225286358 3686041552 6450572716 7372083104 12901145432 14744166208 25802290864 51604581728 103209163456