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4629378663 = 35713297219
BaseRepresentation
bin1000100111110111…
…01011011001100111
3102221121222210200000
410103323223121213
533440110104123
62043211352343
7222502032540
oct42373533147
912847883600
104629378663
111a66188788
12a924526b3
1358a135520
1431cb874c7
151c1647b43
hex113eeb667

4629378663 has 96 divisors (see below), whose sum is σ = 8830348800. Its totient is φ = 2357341056.

The previous prime is 4629378643. The next prime is 4629378713. The reversal of 4629378663 is 3668739264.

4629378663 is a `hidden beast` number, since 4 + 629 + 3 + 7 + 8 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 4629378663 - 25 = 4629378631 is a prime.

It is a super-2 number, since 2×46293786632 = 42862293610879335138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4629378643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637668 + ... + 644886.

It is an arithmetic number, because the mean of its divisors is an integer number (91982800).

Almost surely, 24629378663 is an apocalyptic number.

4629378663 is a deficient number, since it is larger than the sum of its proper divisors (4200970137).

4629378663 is a wasteful number, since it uses less digits than its factorization.

4629378663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7283 (or 7271 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 4629378663 is about 68039.5374984281. The cubic root of 4629378663 is about 1666.6365501269.

The spelling of 4629378663 in words is "four billion, six hundred twenty-nine million, three hundred seventy-eight thousand, six hundred sixty-three".

Divisors: 1 3 7 9 13 21 27 29 39 63 81 87 91 117 189 203 243 261 273 351 377 567 609 783 819 1053 1131 1701 1827 2349 2457 2639 3159 3393 5481 7047 7219 7371 7917 10179 16443 21657 22113 23751 30537 49329 50533 64971 71253 91611 93847 151599 194913 209351 213759 281541 454797 584739 628053 641277 656929 844623 1364391 1465457 1754217 1884159 1970787 2533869 2721563 4093173 4396371 5652477 5912361 7601607 8164689 12279519 13189113 16957431 17737083 19050941 22804821 24494067 39567339 50872293 53211249 57152823 73482201 118702017 159633747 171458469 220446603 356106051 514375407 661339809 1543126221 4629378663