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60007130469 = 321113378914159
BaseRepresentation
bin110111111000101101…
…000010010101100101
312201220000000001220200
4313320231002111211
51440343311133334
643322241021113
74223014123146
oct677055022545
9181800001820
1060007130469
11234a3508310
12b768324799
1358740858c0
142c937cbacd
1518631b0799
hexdf8b42565

60007130469 has 96 divisors (see below), whose sum is σ = 105765004800. Its totient is φ = 32293831680.

The previous prime is 60007130453. The next prime is 60007130507. The reversal of 60007130469 is 96403170006.

60007130469 is a `hidden beast` number, since 60 + 0 + 0 + 7 + 130 + 469 = 666.

It is not a de Polignac number, because 60007130469 - 24 = 60007130453 is a prime.

It is a super-4 number, since 4×600071304694 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60007134469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4231012 + ... + 4245170.

It is an arithmetic number, because the mean of its divisors is an integer number (1101718800).

Almost surely, 260007130469 is an apocalyptic number.

It is an amenable number.

60007130469 is a deficient number, since it is larger than the sum of its proper divisors (45757874331).

60007130469 is a wasteful number, since it uses less digits than its factorization.

60007130469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14315 (or 14312 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 60007130469 in words is "sixty billion, seven million, one hundred thirty thousand, four hundred sixty-nine".

Divisors: 1 3 9 11 13 33 37 39 89 99 111 117 143 267 333 407 429 481 801 979 1157 1221 1287 1443 2937 3293 3471 3663 4329 5291 8811 9879 10413 12727 14159 15873 29637 36223 38181 42477 42809 47619 108669 114543 127431 128427 155749 184067 326007 385281 467247 470899 523883 552201 1260151 1401741 1412697 1571649 1656603 2024737 3780453 4238091 4714947 5762713 6074211 6810479 11341359 13861661 16381963 17288139 18222633 20431437 41584983 46625587 49145889 51864417 61294311 74915269 124754949 139876761 147437667 180201593 224745807 419630283 512881457 540604779 606132631 674237421 1538644371 1621814337 1818397893 4615933113 5455193679 6667458941 20002376823 60007130469