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55275132925152 = 2533721305629557
BaseRepresentation
bin11001001000101101111101…
…01010011011010011100000
321020201020210001102010112000
430210112332222123103200
524221111433012101102
6313321013455204000
714433332215440300
oct1444267652332340
9236636701363460
1055275132925152
1116681063575518
126248836216600
1324ac5657b066a
14d9148b66b600
1565cc7687801c
hex3245bea9b4e0

55275132925152 has 144 divisors (see below), whose sum is σ = 187540629711120. Its totient is φ = 15792895109376.

The previous prime is 55275132925151. The next prime is 55275132925157. The reversal of 55275132925152 is 25152923157255.

55275132925152 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 5 + 1 + 32 + 92 + 515 + 2 = 666.

55275132925152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×552751329251523 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55275132925151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652772443 + ... + 652857114.

It is an arithmetic number, because the mean of its divisors is an integer number (1302365484105).

Almost surely, 255275132925152 is an apocalyptic number.

It is an amenable number.

55275132925152 is an abundant number, since it is smaller than the sum of its proper divisors (132265496785968).

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

55275132925152 is a wasteful number, since it uses less digits than its factorization.

55275132925152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305629590 (or 1305629569 counting only the distinct ones).

The product of its digits is 9450000, while the sum is 54.

The spelling of 55275132925152 in words is "fifty-five trillion, two hundred seventy-five billion, one hundred thirty-two million, nine hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1305629557 2611259114 3916888671 5222518228 7833777342 9139406899 10445036456 11750666013 15667554684 18278813798 20890072912 23501332026 27418220697 31335109368 35251998039 36557627596 41780145824 47002664052 54836441394 62670218736 63975848293 70503996078 73115255192 82254662091 94005328104 109672882788 125340437472 127951696586 141007992156 146230510384 164509324182 188010656208 191927544879 219345765576 246763986273 255903393172 282015984312 292461020768 329018648364 376021312416 383855089758 438691531152 493527972546 511806786344 564031968624 575782634637 658037296728 767710179516 877383062304 987055945092 1023613572688 1128063937248 1151565269274 1316074593456 1535420359032 1727347903911 1974111890184 2047227145376 2303130538548 2632149186912 3070840718064 3454695807822 3948223780368 4606261077096 6141681436128 6909391615644 7896447560736 9212522154192 13818783231288 18425044308384 27637566462576 55275132925152