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205013054004150 = 23527213479146509
BaseRepresentation
bin101110100111010101010010…
…010000100001101110110110
3222212220001112020011022012210
4232213111102100201232312
5203332413213311113100
62004005410302354250
761116463411300050
oct5647252220415666
9885801466138183
10205013054004150
115a361603340397
121abb0aa0b8b986
138a51856982952
14388a982d928d0
1518a7cd782dc50
hexba7552421bb6

205013054004150 has 96 divisors (see below), whose sum is σ = 581092853748480. Its totient is φ = 46857926344320.

The previous prime is 205013054004113. The next prime is 205013054004167. The reversal of 205013054004150 is 51400450310502.

205013054004150 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 (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17841096 + ... + 26987604.

It is an arithmetic number, because the mean of its divisors is an integer number (6053050559880).

Almost surely, 2205013054004150 is an apocalyptic number.

205013054004150 is an abundant number, since it is smaller than the sum of its proper divisors (376079799744330).

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

205013054004150 is a wasteful number, since it uses less digits than its factorization.

205013054004150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167878 (or 9167873 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 205013054004150 in words is "two hundred five trillion, thirteen billion, fifty-four million, four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 21347 42694 64041 106735 128082 149429 213470 298858 320205 448287 533675 640410 747145 896574 1067350 1494290 1601025 2241435 3202050 3735725 4482870 7471450 9146509 11207175 18293018 22414350 27439527 45732545 54879054 64025563 91465090 128051126 137197635 192076689 228662725 274395270 320127815 384153378 457325450 640255630 685988175 960383445 1371976350 1600639075 1920766890 3201278150 4801917225 9603834450 195250527623 390501055246 585751582869 976252638115 1171503165738 1366753693361 1952505276230 2733507386722 2928757914345 4100261080083 4881263190575 5857515828690 6833768466805 8200522160166 9762526381150 13667536933610 14643789571725 20501305400415 29287579143450 34168842334025 41002610800830 68337684668050 102506527002075 205013054004150