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629846989641 = 3410928092
BaseRepresentation
bin10010010101001011100…
…11100101101101001001
32020012202010020020010000
421022211303211231021
540304411312132031
61201203034513213
763335124035352
oct11124563455511
92205663206100
10629846989641
11223131229691
12a209a595809
134751840b41c
14226b025cd29
15115b53203e6
hex92a5ce5b49

629846989641 has 45 divisors (see below), whose sum is σ = 950768920101. Its totient is φ = 415531446336.

The previous prime is 629846989633. The next prime is 629846989693. The reversal of 629846989641 is 146989648926.

The square root of 629846989641 is 793629.

It is a perfect power (a square), and thus also a powerful number.

629846989641 is a `hidden beast` number, since 6 + 29 + 8 + 469 + 89 + 64 + 1 = 666.

629846989641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 221295917241 + 408551072400 = 470421^2 + 639180^2 .

It is not a de Polignac number, because 629846989641 - 23 = 629846989633 is a prime.

It is a super-2 number, since 2×6298469896412 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 629846989641.

It is not an unprimeable number, because it can be changed into a prime (629846989841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 778549645 + ... + 778550453.

Almost surely, 2629846989641 is an apocalyptic number.

629846989641 is the 793629-th square number.

629846989641 is the 396815-th centered octagonal number.

It is an amenable number.

629846989641 is a deficient number, since it is larger than the sum of its proper divisors (320921930460).

629846989641 is an frugal number, since it uses more digits than its factorization.

629846989641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 921 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 629846989641 in words is "six hundred twenty-nine billion, eight hundred forty-six million, nine hundred eighty-nine thousand, six hundred forty-one".

Divisors: 1 3 9 27 81 109 327 809 981 2427 2943 7281 8829 11881 21843 35643 65529 88181 106929 264543 320787 654481 793629 962361 1963443 2380887 5890329 7142661 9611729 17670987 28835187 53012961 71338429 86505561 214015287 259516683 642045861 778550049 1926137583 5778412749 7775888761 23327666283 69982998849 209948996547 629846989641