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2130418848 = 25334963587
BaseRepresentation
bin111111011111011…
…1001110010100000
312111110202111020210
41332332321302200
513330341400343
6551222134120
7103536155445
oct17676716240
95443674223
102130418848
119a3625238
124b5581340
1327c4ab68c
14162d279cc
15c7075333
hex7efb9ca0

2130418848 has 48 divisors (see below), whose sum is σ = 5608461600. Its totient is φ = 708093696.

The previous prime is 2130418847. The next prime is 2130418883. The reversal of 2130418848 is 8488140312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2130418841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711 + ... + 65297.

It is an arithmetic number, because the mean of its divisors is an integer number (116842950).

Almost surely, 22130418848 is an apocalyptic number.

It is an amenable number.

2130418848 is an abundant number, since it is smaller than the sum of its proper divisors (3478042752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2130418848 is a wasteful number, since it uses less digits than its factorization.

2130418848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63949 (or 63941 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 2130418848 is about 46156.4605228781. The cubic root of 2130418848 is about 1286.7326821734.

The spelling of 2130418848 in words is "two billion, one hundred thirty million, four hundred eighteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 698 1047 1396 2094 2792 4188 5584 8376 11168 16752 33504 63587 127174 190761 254348 381522 508696 763044 1017392 1526088 2034784 3052176 6104352 22191863 44383726 66575589 88767452 133151178 177534904 266302356 355069808 532604712 710139616 1065209424 2130418848