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55638477432681 = 311136136740114447
BaseRepresentation
bin11001010011010010101111…
…01011101110011101101001
321021222222122011012112211120
430221221113223232131221
524243040100210321211
6314155544053045453
714501514224003313
oct1451512753563551
9237888564175746
1055638477432681
1116801167022890
1262a7139626889
1325078bbc32b90
14da4cb95067b3
156674401ced06
hex329a57aee769

55638477432681 has 128 divisors (see below), whose sum is σ = 89051772321792. Its totient is φ = 30454479360000.

The previous prime is 55638477432667. The next prime is 55638477432719. The reversal of 55638477432681 is 18623477483655.

It is not a de Polignac number, because 55638477432681 - 26 = 55638477432617 is a prime.

It is a super-2 number, since 2×556384774326812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55638477432661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3851206000 + ... + 3851220446.

It is an arithmetic number, because the mean of its divisors is an integer number (695716971264).

Almost surely, 255638477432681 is an apocalyptic number.

It is an amenable number.

55638477432681 is a deficient number, since it is larger than the sum of its proper divisors (33413294889111).

55638477432681 is a wasteful number, since it uses less digits than its factorization.

55638477432681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15303.

The product of its digits is 812851200, while the sum is 69.

The spelling of 55638477432681 in words is "fifty-five trillion, six hundred thirty-eight billion, four hundred seventy-seven million, four hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 11 13 33 39 61 143 183 367 401 429 671 793 1101 1203 2013 2379 4037 4411 4771 5213 8723 12111 13233 14313 14447 15639 22387 24461 26169 43341 52481 57343 67161 73383 147167 157443 158917 172029 187811 246257 269071 291031 317993 441501 476751 563433 738771 807213 873093 881267 953979 1618837 1913171 2065921 2643801 3201341 3497923 4856511 5302049 5739513 5793247 6197763 8977187 9604023 9693937 10493769 11456471 15906147 17379741 21044881 26931561 29081811 34369413 58322539 63134643 63725717 68926637 75312211 98749057 116703431 126021181 174967617 191177151 206779911 225936633 296247171 323424989 350110293 353388067 378063543 758193007 828434321 970274967 1060164201 1283737741 2126121649 2274579021 2485302963 3557674879 3851213223 3887268737 4204524857 4594044871 6378364947 10673024637 11661806211 12613574571 13782134613 23387338139 27639581437 46249773427 50534493581 70162014417 82918744311 129693420589 138749320281 151603480743 304035395807 389080261767 912106187421 1426627626479 1686014467657 4279882879437 5058043402971 18546159144227 55638477432681