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1427727607273 = 11337435312721
BaseRepresentation
bin10100110001101011001…
…100100110010111101001
312001111012210101012001101
4110301223030212113221
5141342441231413043
63011520005321401
7205102264266142
oct24615314462751
95044183335041
101427727607273
11500550017000
121b0853106261
13a4832271996
144d160d30ac9
152721251c24d
hex14c6b3265e9

1427727607273 has 64 divisors (see below), whose sum is σ = 1681614722304. Its totient is φ = 1210117708800.

The previous prime is 1427727607237. The next prime is 1427727607321. The reversal of 1427727607273 is 3727067277241.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1427727607273 is a prime.

It is a super-2 number, since 2×14277276072732 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1427727607673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112227553 + ... + 112240273.

It is an arithmetic number, because the mean of its divisors is an integer number (26275230036).

Almost surely, 21427727607273 is an apocalyptic number.

It is an amenable number.

1427727607273 is a deficient number, since it is larger than the sum of its proper divisors (253887115031).

1427727607273 is a wasteful number, since it uses less digits than its factorization.

1427727607273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12887 (or 12865 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 55.

The spelling of 1427727607273 in words is "one trillion, four hundred twenty-seven billion, seven hundred twenty-seven million, six hundred seven thousand, two hundred seventy-three".

Divisors: 1 11 37 43 53 121 407 473 583 1331 1591 1961 2279 4477 5203 6413 12721 17501 21571 25069 49247 57233 70543 84323 139931 192511 237281 275759 470677 547003 674213 927553 1539241 2117621 2610091 3033349 5177447 6017033 7416343 10203083 16931651 20239111 24945881 28991159 56951917 66187363 81579773 112233913 222630221 274404691 318902749 626471087 728060993 897377503 1072672883 2448932431 3018451601 3507930239 11799401713 26938256741 33202967611 38587232629 129793418843 1427727607273