Search a number
-
+
24994661409 = 3215123492
BaseRepresentation
bin10111010001110011…
…000100010000100001
32101111220212100122100
4113101303010100201
5402142113131114
615252110201013
71543251054654
oct272163042041
971456770570
1024994661409
11a666920073
124a167b3169
1324843b75a3
1412d179789b
159b44ba909
hex5d1cc4421

24994661409 has 27 divisors (see below), whose sum is σ = 36448514739. Its totient is φ = 16505326800.

The previous prime is 24994661399. The next prime is 24994661437. The reversal of 24994661409 is 90416649942.

It is a happy number.

The square root of 24994661409 is 158097.

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

24994661409 is a `hidden beast` number, since 2 + 499 + 4 + 6 + 6 + 140 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18345889809 + 6648771600 = 135447^2 + 81540^2 .

It is not a de Polignac number, because 24994661409 - 29 = 24994660897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (24994661459) 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, 71617767 + ... + 71618115.

Almost surely, 224994661409 is an apocalyptic number.

24994661409 is the 158097-th square number.

24994661409 is the 79049-th centered octagonal number.

It is an amenable number.

24994661409 is a deficient number, since it is larger than the sum of its proper divisors (11453853330).

24994661409 is an frugal number, since it uses more digits than its factorization.

With its predecessor (24994661408) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1006).

24994661409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 24994661409 in words is "twenty-four billion, nine hundred ninety-four million, six hundred sixty-one thousand, four hundred nine".

Divisors: 1 3 9 151 349 453 1047 1359 3141 22801 52699 68403 121801 158097 205209 365403 474291 1096209 7957549 18391951 23872647 55175853 71617941 165527559 2777184601 8331553803 24994661409