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127016486253 = 3266121350897
BaseRepresentation
bin111011001001011000…
…1011100010101101101
3110010211222221001011200
41312102301130111231
54040112210030003
6134203420040113
712114405214356
oct1662261342555
9403758831150
10127016486253
114995a54a098
1220749693039
13bc92a43297
14620d154d2d
153485e796a3
hex1d92c5c56d

127016486253 has 12 divisors (see below), whose sum is σ = 183745828188. Its totient is φ = 84549548160.

The previous prime is 127016486243. The next prime is 127016486263. The reversal of 127016486253 is 352684610721.

127016486253 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 16 + 4 + 8 + 625 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (127016486243) and next prime (127016486263).

It can be written as a sum of positive squares in 2 ways, for example, as 104449836969 + 22566649284 = 323187^2 + 150222^2 .

It is not a de Polignac number, because 127016486253 - 212 = 127016482157 is a prime.

It is a super-2 number, since 2×1270164862532 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127016486199 and 127016486208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127016486243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10669500 + ... + 10681397.

It is an arithmetic number, because the mean of its divisors is an integer number (15312152349).

Almost surely, 2127016486253 is an apocalyptic number.

It is an amenable number.

127016486253 is a deficient number, since it is larger than the sum of its proper divisors (56729341935).

127016486253 is a wasteful number, since it uses less digits than its factorization.

127016486253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21351564 (or 21351561 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 127016486253 in words is "one hundred twenty-seven billion, sixteen million, four hundred eighty-six thousand, two hundred fifty-three".

Divisors: 1 3 9 661 1983 5949 21350897 64052691 192158073 14112942917 42338828751 127016486253