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24430002601 = 149210492
BaseRepresentation
bin10110110000001001…
…000100000110101001
32100001120100201101011
4112300021010012221
5400013040040401
615120055423521
71523253411244
oct266011040651
970046321334
1024430002601
11a3a71105a4
124899684ba1
1323c4413b54
14127a7b025b
1597eb2e451
hex5b02441a9

24430002601 has 9 divisors (see below), whose sum is σ = 24618531301. Its totient is φ = 24242910304.

The previous prime is 24430002599. The next prime is 24430002613. The reversal of 24430002601 is 10620003442.

It is a happy number.

The square root of 24430002601 is 156301.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37810201 + 24392192400 = 6149^2 + 156180^2 .

It is not a de Polignac number, because 24430002601 - 21 = 24430002599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24430002661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23288325 + ... + 23289373.

Almost surely, 224430002601 is an apocalyptic number.

24430002601 is the 156301-st square number.

24430002601 is the 78151-st centered octagonal number.

It is an amenable number.

24430002601 is a deficient number, since it is larger than the sum of its proper divisors (188528700).

24430002601 is an frugal number, since it uses more digits than its factorization.

24430002601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The spelling of 24430002601 in words is "twenty-four billion, four hundred thirty million, two thousand, six hundred one".

Divisors: 1 149 1049 22201 156301 1100401 23288849 163959749 24430002601