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20250354114054 = 23219317607330757
BaseRepresentation
bin1001001101010111001110…
…01010011101111000000110
32122200220200222220012221100
410212223213022131320012
510123240211123122204
6111022514555400530
74160016436622061
oct446534712357006
978626628805840
1020250354114054
1164a8143a76429
1223307a2753146
13b3b7a583956c
1450019dacb8d8
15251b58ceca39
hex126ae729de06

20250354114054 has 96 divisors (see below), whose sum is σ = 46339847779680. Its totient is φ = 6373418743296.

The previous prime is 20250354114007. The next prime is 20250354114083. The reversal of 20250354114054 is 45041145305202.

20250354114054 is a `hidden beast` number, since 2 + 0 + 2 + 50 + 3 + 541 + 14 + 0 + 54 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658382844 + ... + 658413600.

It is an arithmetic number, because the mean of its divisors is an integer number (482706747705).

Almost surely, 220250354114054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20250354114054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23169923889840).

20250354114054 is an abundant number, since it is smaller than the sum of its proper divisors (26089493665626).

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

20250354114054 is a wasteful number, since it uses less digits than its factorization.

20250354114054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37174 (or 37171 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 20250354114054 its reverse (45041145305202), we get a palindrome (65291499419256).

The spelling of 20250354114054 in words is "twenty trillion, two hundred fifty billion, three hundred fifty-four million, one hundred fourteen thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 317 342 634 951 1902 2853 5706 6023 6073 12046 12146 18069 18219 30757 36138 36438 54207 54657 61514 92271 108414 109314 115387 184542 230774 276813 346161 553626 584383 692322 1038483 1168766 1753149 1925141 2076966 3506298 3850282 5259447 5775423 9749969 10518894 11550846 17326269 19499938 29249907 34652538 36577679 58499814 73155358 87749721 109733037 175499442 185249411 186787261 219466074 329199111 370498822 373574522 555748233 560361783 658398222 1111496466 1120723566 1667244699 1681085349 3334489398 3362170698 3548957959 7097915918 10646873877 21293747754 31940621631 59211561737 63881243262 118423123474 177634685211 355269370422 532904055633 1065808111266 1125019673003 2250039346006 3375059019009 6750118038018 10125177057027 20250354114054