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25378391820 = 223523151121789
BaseRepresentation
bin10111101000101010…
…111000011100001100
32102111122220212210210
4113220222320130030
5403433332014240
615354135002420
71555620525345
oct275052703414
972448825723
1025378391820
11a843493441
124b03209410
132515a506c2
14132a7250cc
159d8018780
hex5e8ab870c

25378391820 has 96 divisors (see below), whose sum is σ = 74640706560. Its totient is φ = 6430406400.

The previous prime is 25378391803. The next prime is 25378391821. The reversal of 25378391820 is 2819387352.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 25378391820.

It is not an unprimeable number, because it can be changed into a prime (25378391821) by changing a digit.

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, 147486 + ... + 269274.

It is an arithmetic number, because the mean of its divisors is an integer number (777507360).

Almost surely, 225378391820 is an apocalyptic number.

25378391820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25378391820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37320353280).

25378391820 is an abundant number, since it is smaller than the sum of its proper divisors (49262314740).

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

25378391820 is a wasteful number, since it uses less digits than its factorization.

25378391820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121975 (or 121973 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 25378391820 in words is "twenty-five billion, three hundred seventy-eight million, three hundred ninety-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 151 230 276 302 345 453 460 604 690 755 906 1380 1510 1812 2265 3020 3473 4530 6946 9060 10419 13892 17365 20838 34730 41676 52095 69460 104190 121789 208380 243578 365367 487156 608945 730734 1217890 1461468 1826835 2435780 2801147 3653670 5602294 7307340 8403441 11204588 14005735 16806882 18390139 28011470 33613764 36780278 42017205 55170417 56022940 73560556 84034410 91950695 110340834 168068820 183901390 220681668 275852085 367802780 422973197 551704170 845946394 1103408340 1268919591 1691892788 2114865985 2537839182 4229731970 5075678364 6344597955 8459463940 12689195910 25378391820