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25500396416 = 271120638779
BaseRepresentation
bin10111101111111100…
…010010101110000000
32102211011111100122112
4113233330102232000
5404211100141131
615414213554452
71561631536025
oct275774225600
972734440575
1025500396416
11a8a6344290
124b38045a28
1325350c9b81
14133ca0354c
159e3ab802b
hex5eff12b80

25500396416 has 64 divisors (see below), whose sum is σ = 55453075200. Its totient is φ = 11584151040.

The previous prime is 25500396409. The next prime is 25500396437. The reversal of 25500396416 is 61469300552.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2900315 + ... + 2909093.

It is an arithmetic number, because the mean of its divisors is an integer number (866454300).

Almost surely, 225500396416 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 25500396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27726537600).

25500396416 is an abundant number, since it is smaller than the sum of its proper divisors (29952678784).

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

25500396416 is a wasteful number, since it uses less digits than its factorization.

25500396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10867 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

Adding to 25500396416 its reverse (61469300552), we get a palindrome (86969696968).

The spelling of 25500396416 in words is "twenty-five billion, five hundred million, three hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2063 4126 8252 8779 16504 17558 22693 33008 35116 45386 66016 70232 90772 96569 132032 140464 181544 193138 264064 280928 363088 386276 561856 726176 772552 1123712 1452352 1545104 2904704 3090208 6180416 12360832 18111077 36222154 72444308 144888616 199221847 289777232 398443694 579554464 796887388 1159108928 1593774776 2318217856 3187549552 6375099104 12750198208 25500396416