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25069265104 = 2413238997607
BaseRepresentation
bin10111010110001111…
…101010000011010000
32101201010020121200011
4113112033222003100
5402320212440404
615303333204304
71545145144312
oct272617520320
971633217604
1025069265104
11a6a4a45a14
124a37790694
1324969a86a0
1412db6577b2
159bad05604
hex5d63ea0d0

25069265104 has 160 divisors (see below), whose sum is σ = 55856424960. Its totient is φ = 10812358656.

The previous prime is 25069265077. The next prime is 25069265119. The reversal of 25069265104 is 40156296052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41299969 + ... + 41300575.

It is an arithmetic number, because the mean of its divisors is an integer number (349102656).

Almost surely, 225069265104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25069265104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27928212480).

25069265104 is an abundant number, since it is smaller than the sum of its proper divisors (30787159856).

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

25069265104 is a wasteful number, since it uses less digits than its factorization.

25069265104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 25069265104 in words is "twenty-five billion, sixty-nine million, two hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 89 92 97 104 178 184 194 208 299 356 368 388 598 607 712 776 1157 1196 1214 1261 1424 1552 2047 2231 2314 2392 2428 2522 4094 4462 4628 4784 4856 5044 7891 8188 8633 8924 9256 9712 10088 13961 15782 16376 17266 17848 18512 20176 26611 27922 29003 31564 32752 34532 35696 53222 54023 55844 58006 58879 63128 69064 106444 108046 111688 112229 116012 117758 126256 138128 181493 198559 212888 216092 223376 224458 232024 235516 362986 397118 425776 432184 448916 464048 471032 702299 725972 765427 794236 864368 897832 942064 1242529 1354217 1404598 1451944 1530854 1588472 1795664 2485058 2581267 2708434 2809196 2903888 3061708 3176944 4970116 5162534 5240231 5416868 5618392 6123416 9940232 10325068 10480462 10833736 11236784 12246832 16152877 17604821 19880464 20650136 20960924 21667472 32305754 35209642 41300272 41921848 64611508 68123003 70419284 83843696 120525313 129223016 136246006 140838568 241050626 258446032 272492012 281677136 482101252 544984024 964202504 1089968048 1566829069 1928405008 3133658138 6267316276 12534632552 25069265104