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2258428784472 = 233372815315551
BaseRepresentation
bin100000110111010100110…
…110000110111101011000
321222220101210012022201000
4200313110312012331120
5244000230232100342
64445301410425000
7322110653633340
oct40672466067530
97886353168630
102258428784472
117a0881198613
12305847292160
13134c799455a3
147b4468a3d20
153db30c8e44c
hex20dd4d86f58

2258428784472 has 128 divisors (see below), whose sum is σ = 7195131187200. Its totient is φ = 642968928000.

The previous prime is 2258428784471. The next prime is 2258428784533. The reversal of 2258428784472 is 2744878248522.

It is a happy number.

2258428784472 is a `hidden beast` number, since 2 + 2 + 5 + 8 + 4 + 2 + 87 + 84 + 472 = 666.

2258428784472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258428784471) 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, 2232904 + ... + 3082647.

It is an arithmetic number, because the mean of its divisors is an integer number (56211962400).

Almost surely, 22258428784472 is an apocalyptic number.

It is an amenable number.

2258428784472 is an abundant number, since it is smaller than the sum of its proper divisors (4936702402728).

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

2258428784472 is a wasteful number, since it uses less digits than its factorization.

2258428784472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315854 (or 5315844 counting only the distinct ones).

The product of its digits is 128450560, while the sum is 63.

The spelling of 2258428784472 in words is "two trillion, two hundred fifty-eight billion, four hundred twenty-eight million, seven hundred eighty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 281 378 504 562 756 843 1124 1512 1686 1967 2248 2529 3372 3934 5058 5901 6744 7587 7868 10116 11802 15174 15736 17703 20232 23604 30348 35406 47208 53109 60696 70812 106218 141624 212436 424872 5315551 10631102 15946653 21262204 31893306 37208857 42524408 47839959 63786612 74417714 95679918 111626571 127573224 143519877 148835428 191359836 223253142 287039754 297670856 334879713 382719672 446506284 574079508 669759426 893012568 1004639139 1148159016 1339518852 1493669831 2009278278 2679037704 2987339662 4018556556 4481009493 5974679324 8037113112 8962018986 10455688817 11949358648 13443028479 17924037972 20911377634 26886056958 31367066451 35848075944 40329085437 41822755268 53772113916 62734132902 80658170874 83645510536 94101199353 107544227832 125468265804 161316341748 188202398706 250936531608 282303598059 322632683496 376404797412 564607196118 752809594824 1129214392236 2258428784472