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2525007102198 = 2371941613125897
BaseRepresentation
bin100100101111100110001…
…001101100000011110110
322221101111002022222101220
4210233212021230003312
5312332203304232243
65211550001131210
7350266013146050
oct44574611540366
98841432288356
102525007102198
11893938756299
12349443929b06
13154151534229
148a2d4d888d0
1545a34237783
hex24be626c0f6

2525007102198 has 128 divisors (see below), whose sum is σ = 6233582638080. Its totient is φ = 665697761280.

The previous prime is 2525007102187. The next prime is 2525007102199. The reversal of 2525007102198 is 8912017005252.

2525007102198 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525007102199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19993186 + ... + 20119082.

It is an arithmetic number, because the mean of its divisors is an integer number (48699864360).

Almost surely, 22525007102198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525007102198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116791319040).

2525007102198 is an abundant number, since it is smaller than the sum of its proper divisors (3708575535882).

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

2525007102198 is a wasteful number, since it uses less digits than its factorization.

2525007102198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126582.

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 2525007102198 in words is "two trillion, five hundred twenty-five billion, seven million, one hundred two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 19 21 38 41 42 57 82 114 123 133 246 266 287 399 574 613 779 798 861 1226 1558 1722 1839 2337 3678 4291 4674 5453 8582 10906 11647 12873 16359 23294 25133 25746 32718 34941 50266 69882 75399 81529 125897 150798 163058 175931 244587 251794 351862 377691 477527 489174 527793 755382 881279 955054 1055586 1432581 1762558 2392043 2643837 2865162 3342689 4784086 5161777 5287674 6685378 7176129 10028067 10323554 14352258 15485331 16744301 20056134 30970662 33488602 36132439 50232903 72264878 77174861 98073763 100465806 108397317 154349722 196147526 216794634 231524583 294221289 463049166 540224027 588442578 686516341 1080448054 1373032682 1466322359 1620672081 2059549023 2932644718 3164169301 3241344162 4119098046 4398967077 6328338602 8797934154 9492507903 10264256513 18985015806 20528513026 22149185107 30792769539 44298370214 60119216719 61585539078 66447555321 120238433438 132895110642 180357650157 360715300314 420834517033 841669034066 1262503551099 2525007102198