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704004162129 = 34172371097457
BaseRepresentation
bin10100011111010011110…
…10110000001001010001
32111022011021000220120000
422033221322300021101
543013300031142004
61255225352240213
7101601610433412
oct12175172601121
92438137026500
10704004162129
11251625aa59a4
12b45356a0069
1351505bb7c48
142610701d809
15134a58a0c39
hexa3e9eb0251

704004162129 has 120 divisors (see below), whose sum is σ = 1158036922680. Its totient is φ = 425789374464.

The previous prime is 704004162101. The next prime is 704004162149. The reversal of 704004162129 is 921261400407.

It is a happy number.

704004162129 is a `hidden beast` number, since 7 + 0 + 4 + 0 + 0 + 4 + 1 + 621 + 29 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11741889600 + 692262272529 = 108360^2 + 832023^2 .

It is not a de Polignac number, because 704004162129 - 217 = 704004031057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 704004162093 and 704004162102.

It is not an unprimeable number, because it can be changed into a prime (704004162149) 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 119 ways as a sum of consecutive naturals, for example, 94404769 + ... + 94412225.

It is an arithmetic number, because the mean of its divisors is an integer number (9650307689).

Almost surely, 2704004162129 is an apocalyptic number.

It is an amenable number.

704004162129 is a deficient number, since it is larger than the sum of its proper divisors (454032760551).

704004162129 is a wasteful number, since it uses less digits than its factorization.

704004162129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 704004162129 in words is "seven hundred four billion, four million, one hundred sixty-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 17 27 37 51 81 109 111 153 289 327 333 459 629 867 981 999 1377 1853 1887 2601 2943 2997 4033 5559 5661 7457 7803 8829 10693 12099 16677 16983 22371 23409 31501 32079 36297 50031 50949 67113 68561 94503 96237 108891 126769 150093 201339 205683 275909 283509 288711 326673 380307 604017 617049 812813 827727 850527 866133 1140921 1165537 1851147 2155073 2438439 2483181 2551581 3422763 3496611 4690453 5553441 6465219 7315317 7449543 10268289 10489833 13817821 14071359 19395657 21945951 22348629 30074081 31469499 41453463 42214077 58186971 65837853 79737701 90222243 94408497 124360389 126642231 174560913 234902957 239213103 270666729 373081167 379926693 511259377 704708871 717639309 812000187 1119243501 1533778131 2114126613 2152917927 2436000561 4601334393 6342379839 6458753781 8691409409 13804003179 19027139517 26074228227 41412009537 78222684681 234668054043 704004162129