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25129224484 = 2272134672
BaseRepresentation
bin10111011001110100…
…011000100100100100
32101212022001212110221
4113121310120210210
5402431040140414
615313314254124
71546503612100
oct273164304444
971768055427
1025129224484
11a725879321
124a53887344
1324a6240000
1413055c4900
159c11eb224
hex5d9d18924

25129224484 has 135 divisors (see below), whose sum is σ = 56258256663. Its totient is φ = 9792855072.

The previous prime is 25129224479. The next prime is 25129224511. The reversal of 25129224484 is 48442292152.

The square root of 25129224484 is 158522.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 12459470884 + 12669753600 = 111622^2 + 112560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25129224484.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 375063019 + ... + 375063085.

Almost surely, 225129224484 is an apocalyptic number.

25129224484 is the 158522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25129224484

25129224484 is an abundant number, since it is smaller than the sum of its proper divisors (31129032179).

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

25129224484 is an frugal number, since it uses more digits than its factorization.

25129224484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 89 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The spelling of 25129224484 in words is "twenty-five billion, one hundred twenty-nine million, two hundred twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 67 91 98 134 169 182 196 268 338 364 469 637 676 871 938 1183 1274 1742 1876 2197 2366 2548 3283 3484 4394 4489 4732 6097 6566 8281 8788 8978 11323 12194 13132 15379 16562 17956 22646 24388 28561 30758 31423 33124 42679 45292 57122 58357 61516 62846 79261 85358 107653 114244 116714 125692 147199 158522 170716 199927 215306 219961 233428 294398 317044 399854 408499 430612 439922 554827 588796 758641 799708 816998 879844 1030393 1109654 1399489 1517282 1633996 1913587 2060786 2219308 2798978 2859493 3034564 3827174 4121572 5310487 5597956 5718986 7212751 7654348 9862333 10620974 11437972 13395109 14425502 19724666 21241948 26790218 28851004 37173409 39449332 53580436 69036331 74346818 93765763 128210329 138072662 148693636 187531526 256420658 276145324 375063052 483254317 512841316 897472303 966508634 1794944606 1933017268 3589889212 6282306121 12564612242 25129224484