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25184420416 = 268322392
BaseRepresentation
bin10111011101000110…
…111100001001000000
32102000010221010001201
4113131012330021000
5403034202423131
615323005310544
71551044020141
oct273506741100
972003833051
1025184420416
11a753a488a1
124a6a265454
1324b47c741c
14130ca71ac8
159c5ea0761
hex5dd1bc240

25184420416 has 63 divisors (see below), whose sum is σ = 50797238131. Its totient is φ = 12388444544.

The previous prime is 25184420399. The next prime is 25184420419. The reversal of 25184420416 is 61402448152.

The square root of 25184420416 is 158696.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×251844204162 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25184420419) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105374025 + ... + 105374263.

Almost surely, 225184420416 is an apocalyptic number.

25184420416 is the 158696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25184420416

25184420416 is an abundant number, since it is smaller than the sum of its proper divisors (25612817715).

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

25184420416 is an frugal number, since it uses more digits than its factorization.

25184420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

Adding to 25184420416 its reverse (61402448152), we get a palindrome (86586868568).

The spelling of 25184420416 in words is "twenty-five billion, one hundred eighty-four million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 166 239 332 478 664 956 1328 1912 2656 3824 5312 6889 7648 13778 15296 19837 27556 39674 55112 57121 79348 110224 114242 158696 220448 228484 317392 440896 456968 634784 913936 1269568 1646471 1827872 3292942 3655744 4741043 6585884 9482086 13171768 18964172 26343536 37928344 52687072 75856688 105374144 151713376 303426752 393506569 787013138 1574026276 3148052552 6296105104 12592210208 25184420416