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20127639483 = 3373161199283
BaseRepresentation
bin10010101111101100…
…110110011110111011
31220221201201000201000
4102233230312132323
5312210133430413
613125125100043
71311532053450
oct225754663673
956851630630
1020127639483
1185995894a6
123a98857623
131b89c77b63
14d8d22d827
157cc080073
hex4afb367bb

20127639483 has 128 divisors (see below), whose sum is σ = 36061184000. Its totient is φ = 10854518400.

The previous prime is 20127639451. The next prime is 20127639559. The reversal of 20127639483 is 38493672102.

20127639483 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 7 + 639 + 4 + 8 + 3 = 666.

It is not a de Polignac number, because 20127639483 - 25 = 20127639451 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20127639083) 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 127 ways as a sum of consecutive naturals, for example, 71122260 + ... + 71122542.

It is an arithmetic number, because the mean of its divisors is an integer number (281728000).

Almost surely, 220127639483 is an apocalyptic number.

20127639483 is a deficient number, since it is larger than the sum of its proper divisors (15933544517).

20127639483 is a wasteful number, since it uses less digits than its factorization.

20127639483 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20127639483 in words is "twenty billion, one hundred twenty-seven million, six hundred thirty-nine thousand, four hundred eighty-three".

Divisors: 1 3 7 9 21 27 31 61 63 93 183 189 199 217 279 283 427 549 597 651 837 849 1281 1393 1647 1791 1891 1953 1981 2547 3843 4179 5373 5673 5859 5943 6169 7641 8773 11529 12139 12537 13237 17019 17263 17829 18507 26319 36417 37611 39711 43183 51057 51789 53487 55521 56317 61411 78957 84973 109251 119133 120841 129549 155367 166563 168951 184233 236871 254919 327753 357399 362523 376309 388647 394219 466101 506853 535153 552699 764757 1087569 1128927 1165941 1182657 1520559 1605459 1658097 1745827 2294271 2634163 3262707 3386781 3435337 3547971 3746071 4816377 5237481 7902489 10160343 10306011 10643913 11238213 12220789 14449131 15712443 23707467 24047359 30918033 33714639 36662367 47137329 71122401 72142077 92754099 101143917 106495447 109987101 216426231 319486341 329961303 649278693 745468129 958459023 2236404387 2875377069 6709213161 20127639483