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2431968045 = 351312471631
BaseRepresentation
bin1001000011110100…
…1110001100101101
320021111011202222120
42100331032030231
514440040434140
61041153303153
7114160246563
oct22075161455
96244152876
102431968045
111038867651
1257a564ab9
132c9acc660
14190dc1a33
15e378d1d0
hex90f4e32d

2431968045 has 16 divisors (see below), whose sum is σ = 4190468352. Its totient is φ = 1197276480.

The previous prime is 2431967999. The next prime is 2431968053. The reversal of 2431968045 is 5408691342.

2431968045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2431968045 - 26 = 2431967981 is a prime.

It is a super-3 number, since 3×24319680453 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2431967988 and 2431968006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6235621 + ... + 6236010.

It is an arithmetic number, because the mean of its divisors is an integer number (261904272).

Almost surely, 22431968045 is an apocalyptic number.

It is an amenable number.

2431968045 is a deficient number, since it is larger than the sum of its proper divisors (1758500307).

2431968045 is a wasteful number, since it uses less digits than its factorization.

2431968045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12471652.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2431968045 is about 49314.9880360930. The cubic root of 2431968045 is about 1344.7842727857.

The spelling of 2431968045 in words is "two billion, four hundred thirty-one million, nine hundred sixty-eight thousand, forty-five".

Divisors: 1 3 5 13 15 39 65 195 12471631 37414893 62358155 162131203 187074465 486393609 810656015 2431968045