Search a number
-
+
68997825959049 = 321322129872
BaseRepresentation
bin11111011000000110011101…
…11010000001010010001001
3100001022010110010100121210100
433230003032322001102021
533020430021421142144
6402425055203440013
720350633306603131
oct1754031672012211
9301263403317710
1068997825959049
111aa918a4a91079
1278a42a8386009
132c6660c1c8400
1413077267bbac1
157e9bd248e269
hex3ec0cee81489

68997825959049 has 27 divisors (see below), whose sum is σ = 107920183198503. Its totient is φ = 42460001234352.

The previous prime is 68997825959009. The next prime is 68997825959053. The reversal of 68997825959049 is 94095952879986.

The square root of 68997825959049 is 8306493.

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

68997825959049 is a `hidden beast` number, since 6 + 8 + 9 + 9 + 7 + 8 + 2 + 5 + 9 + 590 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10206778988025 + 58791046971024 = 3194805^2 + 7667532^2 .

It is not a de Polignac number, because 68997825959049 - 27 = 68997825958921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 68997825959049.

It is not an unprimeable number, because it can be changed into a prime (68997825959009) 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, 323846734 + ... + 324059720.

Almost surely, 268997825959049 is an apocalyptic number.

68997825959049 is the 8306493-rd square number.

68997825959049 is the 4153247-th centered octagonal number.

It is an amenable number.

68997825959049 is a deficient number, since it is larger than the sum of its proper divisors (38922357239454).

68997825959049 is an frugal number, since it uses more digits than its factorization.

68997825959049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426006 (or 213003 counting only the distinct ones).

The product of its (nonzero) digits is 31744742400, while the sum is 90.

The spelling of 68997825959049 in words is "sixty-eight trillion, nine hundred ninety-seven billion, eight hundred twenty-five million, nine hundred fifty-nine thousand, forty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 212987 638961 1916883 2768831 8306493 24919479 35994803 107984409 323953227 45363462169 136090386507 408271159521 589725008197 1769175024591 5307525073773 7666425106561 22999275319683 68997825959049