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699034310712049 = 132592344712
BaseRepresentation
bin1001111011110001001001101…
…1110001101001101011110001
310101200002000202000110001010211
42132330102123301221223301
51213110434232020241144
610514415532402224121
7300145363606052014
oct23674223361515361
93350060660401124
10699034310712049
11192808871678aa4
1266499648355041
1324008863b4c300
14c48962679737b
1555c37474ed034
hex27bc49bc69af1

699034310712049 has 27 divisors (see below), whose sum is σ = 770011799676939. Its totient is φ = 634307387397840.

The previous prime is 699034310711963. The next prime is 699034310712061. The reversal of 699034310712049 is 940217013430996.

The square root of 699034310712049 is 26439257.

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

It can be written as a sum of positive squares in only one way, i.e., 103407442413025 + 595626868299024 = 10168945^2 + 24405468^2 .

It is not a de Polignac number, because 699034310712049 - 239 = 698484554898161 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 699034310711984 and 699034310712002.

It is not an unprimeable number, because it can be changed into a prime (699034310712079) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20278892884 + ... + 20278927354.

Almost surely, 2699034310712049 is an apocalyptic number.

699034310712049 is the 26439257-th square number.

699034310712049 is the 13219629-th centered octagonal number.

It is an amenable number.

699034310712049 is a deficient number, since it is larger than the sum of its proper divisors (70977488964890).

699034310712049 is an frugal number, since it uses more digits than its factorization.

699034310712049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69086 (or 34543 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 699034310712049 in words is "six hundred ninety-nine trillion, thirty-four billion, three hundred ten million, seven hundred twelve thousand, forty-nine".

Divisors: 1 13 59 169 767 3481 9971 34471 45253 448123 588289 2033789 5825599 26439257 119993551 343710341 1188249841 1559916163 15447247933 20278910119 70106740619 200814223129 911387628047 4136297696521 11848039164611 53771870054773 699034310712049