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25345254352 = 24112291074219
BaseRepresentation
bin10111100110101100…
…011110001111010000
32102102100120022202011
4113212230132033100
5403401341114402
615350552432304
71555036051555
oct274654361720
972370508664
1025345254352
11a82680a800
124ab40a8694
13250bc1a632
14132617aa2c
159d516eed7
hex5e6b1e3d0

25345254352 has 120 divisors (see below), whose sum is σ = 56372954400. Its totient is φ = 11016741120.

The previous prime is 25345254343. The next prime is 25345254367.

25345254352 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 6005299 + ... + 6009517.

It is an arithmetic number, because the mean of its divisors is an integer number (469774620).

Almost surely, 225345254352 is an apocalyptic number.

25345254352 is a gapful number since it is divisible by the number (22) 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 25345254352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28186477200).

25345254352 is an abundant number, since it is smaller than the sum of its proper divisors (31027700048).

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

25345254352 is a wasteful number, since it uses less digits than its factorization.

25345254352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4368 counting only the distinct ones).

The product of its digits is 720000, while the sum is 40.

The spelling of 25345254352 in words is "twenty-five billion, three hundred forty-five million, two hundred fifty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 107 116 121 176 214 232 242 319 428 464 484 638 856 968 1177 1276 1712 1936 2354 2552 3103 3509 4219 4708 5104 6206 7018 8438 9416 12412 12947 14036 16876 18832 24824 25894 28072 33752 34133 46409 49648 51788 56144 67504 68266 92818 103576 122351 136532 185636 207152 244702 273064 371272 375463 451433 489404 510499 546128 742544 750926 902866 978808 1020998 1345861 1501852 1805732 1957616 2041996 2691722 3003704 3611464 4083992 4965763 5383444 6007408 7222928 8167984 9931526 10766888 13091557 14804471 19863052 21533776 26183114 29608942 39726104 52366228 54623393 59217884 79452208 104732456 109246786 118435768 144007127 209464912 218493572 236871536 288014254 436987144 576028508 873974288 1152057016 1584078397 2304114032 3168156794 6336313588 12672627176 25345254352