Search a number
-
+
34426465106553 = 32131791643817271
BaseRepresentation
bin1111101001111100010010…
…01110010011101001111001
311111220010201112201112120200
413310332021032103221321
514003020400031402203
6201115144424312413
710152141620113362
oct764761116235171
9144803645645520
1034426465106553
11aa73200069303
123a400b5612709
13162952b7a5380
1487036d654b69
153ea7a0ca59a3
hex1f4f89393a79

34426465106553 has 24 divisors (see below), whose sum is σ = 53851453830720. Its totient is φ = 21067162132320.

The previous prime is 34426465106533. The next prime is 34426465106567. The reversal of 34426465106553 is 35560156462443.

34426465106553 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 64 + 6 + 510 + 65 + 5 + 3 = 666.

It is not a de Polignac number, because 34426465106553 - 25 = 34426465106521 is a prime.

It is a super-2 number, since 2×344264651065532 (a number of 28 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 34426465106553.

It is not an unprimeable number, because it can be changed into a prime (34426465106533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821887693 + ... + 821929578.

It is an arithmetic number, because the mean of its divisors is an integer number (2243810576280).

Almost surely, 234426465106553 is an apocalyptic number.

It is an amenable number.

34426465106553 is a deficient number, since it is larger than the sum of its proper divisors (19424988724167).

34426465106553 is a wasteful number, since it uses less digits than its factorization.

34426465106553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643817469 (or 1643817466 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 34426465106553 in words is "thirty-four trillion, four hundred twenty-six billion, four hundred sixty-five million, one hundred six thousand, five hundred fifty-three".

Divisors: 1 3 9 13 39 117 179 537 1611 2327 6981 20943 1643817271 4931451813 14794355439 21369624523 64108873569 192326620707 294243291509 882729874527 2648189623581 3825162789617 11475488368851 34426465106553