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25344521376 = 2532349923003
BaseRepresentation
bin10111100110101001…
…101011010010100000
32102102022012002021220
4113212221223102200
5403401144141001
615350525015040
71555026606606
oct274651532240
972368162256
1025344521376
11a82635a039
124ab39b4480
13250ba21b15
141326029876
159d5077c36
hex5e6a6b4a0

25344521376 has 96 divisors (see below), whose sum is σ = 69564096000. Its totient is φ = 8064317184.

The previous prime is 25344521369. The next prime is 25344521387. The reversal of 25344521376 is 67312544352.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1090291 + ... + 1113293.

It is an arithmetic number, because the mean of its divisors is an integer number (724626000).

Almost surely, 225344521376 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 25344521376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34782048000).

25344521376 is an abundant number, since it is smaller than the sum of its proper divisors (44219574624).

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

25344521376 is a wasteful number, since it uses less digits than its factorization.

25344521376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23538 (or 23530 counting only the distinct ones).

The product of its digits is 604800, while the sum is 42.

The spelling of 25344521376 in words is "twenty-five billion, three hundred forty-four million, five hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 499 552 736 998 1104 1497 1996 2208 2994 3992 5988 7984 11477 11976 15968 22954 23003 23952 34431 45908 46006 47904 68862 69009 91816 92012 137724 138018 183632 184024 275448 276036 367264 368048 529069 550896 552072 736096 1058138 1101792 1104144 1587207 2116276 2208288 3174414 4232552 6348828 8465104 11478497 12697656 16930208 22956994 25395312 34435491 45913988 50790624 68870982 91827976 137741964 183655952 264005431 275483928 367311904 528010862 550967856 792016293 1056021724 1101935712 1584032586 2112043448 3168065172 4224086896 6336130344 8448173792 12672260688 25344521376