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25255755252 = 223271353145459
BaseRepresentation
bin10111100001010111…
…000011110111110100
32102012010011022001200
4113201113003313310
5403210433132002
615334034252500
71552601243340
oct274127036764
972163138050
1025255755252
11a790240802
124a8a127130
1324c65126a0
141318320620
159cc391b1c
hex5e15c3df4

25255755252 has 144 divisors (see below), whose sum is σ = 80056529280. Its totient is φ = 6535137024.

The previous prime is 25255755209. The next prime is 25255755269.

25255755252 is a `hidden beast` number, since 2 + 5 + 2 + 55 + 75 + 525 + 2 = 666.

25255755252 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 25255755198 and 25255755207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100899 + ... + 246357.

It is an arithmetic number, because the mean of its divisors is an integer number (555948120).

Almost surely, 225255755252 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 25255755252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40028264640).

25255755252 is an abundant number, since it is smaller than the sum of its proper divisors (54800774028).

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

25255755252 is a wasteful number, since it uses less digits than its factorization.

25255755252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145542 (or 145537 counting only the distinct ones).

The product of its digits is 1750000, while the sum is 45.

The spelling of 25255755252 in words is "twenty-five billion, two hundred fifty-five million, seven hundred fifty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 156 159 182 212 234 252 273 318 364 371 468 477 546 636 689 742 819 954 1092 1113 1378 1484 1638 1908 2067 2226 2756 3276 3339 4134 4452 4823 6201 6678 8268 9646 12402 13356 14469 19292 24804 28938 43407 57876 86814 145459 173628 290918 436377 581836 872754 1018213 1309131 1745508 1890967 2036426 2618262 3054639 3781934 4072852 5236524 5672901 6109278 7563868 7709327 9163917 11345802 12218556 13236769 15418654 17018703 18327834 22691604 23127981 26473538 30837308 34037406 36655668 39710307 46255962 52947076 53965289 68074812 69383943 79420614 92511924 100221251 107930578 119130921 138767886 158841228 161895867 200442502 215861156 238261842 277535772 300663753 323791734 400885004 476523684 485687601 601327506 647583468 701548757 901991259 971375202 1202655012 1403097514 1803982518 1942750404 2104646271 2806195028 3607965036 4209292542 6313938813 8418585084 12627877626 25255755252