Search a number
-
+
25420500502452 = 223211212494672333
BaseRepresentation
bin1011100011110101010111…
…11001110000011110110100
310100000011202101110102121100
411301322223321300132310
511312442141112034302
6130022003335450100
75232366462050556
oct561725371603664
9110004671412540
1025420500502452
118110856905900
122a267b6226930
1311251b1c90953
1463c5047354d6
152e13a3b33d1c
hex171eabe707b4

25420500502452 has 108 divisors (see below), whose sum is σ = 70686573002500. Its totient is φ = 7697012843520.

The previous prime is 25420500502429. The next prime is 25420500502459.

25420500502452 is a `hidden beast` number, since 2 + 54 + 2 + 0 + 50 + 0 + 502 + 4 + 52 = 666.

25420500502452 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9001764086436 + 16418736416016 = 3000294^2 + 4052004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25420500502459) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3104478 + ... + 7776810.

Almost surely, 225420500502452 is an apocalyptic number.

25420500502452 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 25420500502452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35343286501250).

25420500502452 is an abundant number, since it is smaller than the sum of its proper divisors (45266072500048).

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

25420500502452 is a wasteful number, since it uses less digits than its factorization.

25420500502452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673614 (or 4673598 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 25420500 and 502452, that added together give a palindrome (25922952).

The spelling of 25420500502452 in words is "twenty-five trillion, four hundred twenty billion, five hundred million, five hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1249 1452 2178 2498 3747 4356 4996 7494 11241 13739 14988 22482 27478 41217 44964 54956 82434 123651 151129 164868 247302 302258 453387 494604 604516 906774 1360161 1813548 2720322 4672333 5440644 9344666 14016999 18689332 28033998 42050997 51395663 56067996 84101994 102791326 154186989 168203988 205582652 308373978 462560967 565352293 616747956 925121934 1130704586 1696056879 1850243868 2261409172 3392113758 5088170637 5835743917 6784227516 10176341274 11671487834 17507231751 20352682548 23342975668 35014463502 52521695253 64193183087 70028927004 105043390506 128386366174 192579549261 210086781012 256772732348 385159098522 577738647783 706125013957 770318197044 1155477295566 1412250027914 2118375041871 2310954591132 2824500055828 4236750083742 6355125125613 8473500167484 12710250251226 25420500502452