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8425262625248 = 25783563804913
BaseRepresentation
bin111101010011010100011…
…0010010011000111100000
31002211110002001001002210002
41322212220302103013200
52101014414213001443
625530302345555132
71526463601456010
oct172465062230740
932743061032702
108425262625248
112759152118917
12b40a574a5aa8
13491663cabb61
14211adba2dc40
15e926160b2b8
hex7a9a8c931e0

8425262625248 has 96 divisors (see below), whose sum is σ = 19219337254656. Its totient is φ = 3560982202368.

The previous prime is 8425262625217. The next prime is 8425262625251.

It is a happy number.

8425262625248 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 8425262625193 and 8425262625202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10064840 + ... + 10869752.

It is an arithmetic number, because the mean of its divisors is an integer number (200201429736).

Almost surely, 28425262625248 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 8425262625248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9609668627328).

8425262625248 is an abundant number, since it is smaller than the sum of its proper divisors (10794074629408).

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

8425262625248 is a wasteful number, since it uses less digits than its factorization.

8425262625248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805576 (or 805568 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 56.

The spelling of 8425262625248 in words is "eight trillion, four hundred twenty-five billion, two hundred sixty-two million, six hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 166 224 332 563 581 664 1126 1162 1328 2252 2324 2656 3941 4504 4648 7882 9008 9296 15764 18016 18592 31528 46729 63056 93458 126112 186916 327103 373832 654206 747664 804913 1308412 1495328 1609826 2616824 3219652 5233648 5634391 6439304 10467296 11268782 12878608 22537564 25757216 45075128 66807779 90150256 133615558 180300512 267231116 453166019 467654453 534462232 906332038 935308906 1068924464 1812664076 1870617812 2137848928 3172162133 3625328152 3741235624 6344324266 7250656304 7482471248 12688648532 14501312608 14964942496 25377297064 37612779577 50754594128 75225559154 101509188256 150451118308 263289457039 300902236616 526578914078 601804473232 1053157828156 1203608946464 2106315656312 4212631312624 8425262625248