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105000025614 = 231110119182469
BaseRepresentation
bin110000111001001111…
…1010011111000001110
3101001000122001221221120
41201302133103320032
53210020001304424
6120123014541410
710404666330441
oct1416237237016
9331018057846
10105000025614
1140591860380
1218424367866
139b94679b93
14512112b658
152ae8198a79
hex18727d3e0e

105000025614 has 64 divisors (see below), whose sum is σ = 232573317120. Its totient is φ = 31337840000.

The previous prime is 105000025597. The next prime is 105000025621. The reversal of 105000025614 is 416520000501.

It is a super-2 number, since 2×1050000256142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231972 + ... + 1314440.

It is an arithmetic number, because the mean of its divisors is an integer number (3633958080).

Almost surely, 2105000025614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105000025614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116286658560).

105000025614 is an abundant number, since it is smaller than the sum of its proper divisors (127573291506).

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

105000025614 is a wasteful number, since it uses less digits than its factorization.

105000025614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82777.

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 105000025614 in words is "one hundred five billion, twenty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 191 202 303 382 573 606 1111 1146 2101 2222 3333 4202 6303 6666 12606 19291 38582 57873 82469 115746 164938 212201 247407 424402 494814 636603 907159 1273206 1814318 2721477 5442954 8329369 15751579 16658738 24988107 31503158 47254737 49976214 91623059 94509474 173267369 183246118 274869177 346534738 519802107 549738354 1039604214 1590909479 3181818958 4772728437 9545456874 17500004269 35000008538 52500012807 105000025614