Search a number
-
+
51225132240 = 243457905113
BaseRepresentation
bin101111101101010000…
…010111110011010000
311220012222010100010000
4233231100113303100
51314402113212430
635311004210000
73462256303602
oct575520276320
9156188110100
1051225132240
111a7a7285037
129b17239900
134aa4823649
14269d323172
1514ec1e6e60
hexbed417cd0

51225132240 has 100 divisors (see below), whose sum is σ = 177912495684. Its totient is φ = 13660033536.

The previous prime is 51225132223. The next prime is 51225132247. The reversal of 51225132240 is 4223152215.

51225132240 is a `hidden beast` number, since 5 + 122 + 513 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27161676864 + 24063455376 = 164808^2 + 155124^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51225132247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3946077 + ... + 3959036.

Almost surely, 251225132240 is an apocalyptic number.

It is an amenable number.

51225132240 is an abundant number, since it is smaller than the sum of its proper divisors (126687363444).

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

51225132240 is a wasteful number, since it uses less digits than its factorization.

51225132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905138 (or 7905123 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51225132240 its reverse (4223152215), we get a palindrome (55448284455).

The spelling of 51225132240 in words is "fifty-one billion, two hundred twenty-five million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 7905113 15810226 23715339 31620452 39525565 47430678 63240904 71146017 79051130 94861356 118576695 126481808 142292034 158102260 189722712 213438051 237153390 284584068 316204520 355730085 379445424 426876102 474306780 569168136 632409040 640314153 711460170 853752204 948613560 1067190255 1138336272 1280628306 1422920340 1707504408 1897227120 2134380510 2561256612 2845840680 3201570765 3415008816 4268761020 5122513224 5691681360 6403141530 8537522040 10245026448 12806283060 17075044080 25612566120 51225132240