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25140005136 = 24327321812
BaseRepresentation
bin10111011010011101…
…100000100100010000
32101220001100120202100
4113122131200210100
5402441320131021
615314341320400
71546664342421
oct273235404420
971801316670
1025140005136
11a730971a54
124a57406100
1324a8545cac
141306bcd648
159c212a626
hex5da760910

25140005136 has 135 divisors (see below), whose sum is σ = 71730384687. Its totient is φ = 8219543040.

The previous prime is 25140005113. The next prime is 25140005147. The reversal of 25140005136 is 63150004152.

The square root of 25140005136 is 158556.

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

25140005136 is a `hidden beast` number, since 2 + 5 + 140 + 0 + 0 + 513 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8306499600 + 16833505536 = 91140^2 + 129744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 138894966 + ... + 138895146.

Almost surely, 225140005136 is an apocalyptic number.

25140005136 is the 158556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25140005136

25140005136 is an abundant number, since it is smaller than the sum of its proper divisors (46590379551).

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

25140005136 is an equidigital number, since it uses as much as digits as its factorization.

25140005136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Multiplying 25140005136 by its product of nonzero digits (3600), we get a square (90504018489600 = 95133602).

Adding to 25140005136 its reverse (63150004152), we get a palindrome (88290009288).

The spelling of 25140005136 in words is "twenty-five billion, one hundred forty million, five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 181 219 292 362 438 543 584 657 724 876 1086 1168 1314 1448 1629 1752 2172 2628 2896 3258 3504 4344 5256 5329 6516 8688 10512 10658 13032 13213 15987 21316 26064 26426 31974 32761 39639 42632 47961 52852 63948 65522 79278 85264 95922 98283 105704 118917 127896 131044 158556 191844 196566 211408 237834 255792 262088 294849 317112 383688 393132 475668 524176 589698 634224 767376 786264 951336 964549 1179396 1572528 1902672 1929098 2358792 2391553 2893647 3858196 4717584 4783106 5787294 7174659 7716392 8680941 9566212 11574588 14349318 15432784 17361882 19132424 21523977 23149176 28698636 34723764 38264848 43047954 46298352 57397272 69447528 86095908 114794544 138895056 172191816 174583369 344383632 349166738 523750107 698333476 1047500214 1396666952 1571250321 2095000428 2793333904 3142500642 4190000856 6285001284 8380001712 12570002568 25140005136