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249898000842 = 23273502356629
BaseRepresentation
bin1110100010111100010…
…1001110000111001010
3212220000211011202120200
43220233011032013022
513043242342011332
6310445045233030
724024463650060
oct3505705160712
9786024152520
10249898000842
1196a879a7826
1240522402776
131a746bc8469
14c149060030
156778dbc17c
hex3a2f14e1ca

249898000842 has 48 divisors (see below), whose sum is σ = 618823645440. Its totient is φ = 71396129376.

The previous prime is 249898000841. The next prime is 249898000853. The reversal of 249898000842 is 248000898942.

249898000842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249898000841) 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 23 ways as a sum of consecutive naturals, for example, 4384584 + ... + 4441212.

It is an arithmetic number, because the mean of its divisors is an integer number (12892159280).

Almost surely, 2249898000842 is an apocalyptic number.

249898000842 is an abundant number, since it is smaller than the sum of its proper divisors (368925644598).

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

249898000842 is a wasteful number, since it uses less digits than its factorization.

249898000842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91667 (or 91664 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 249898000842 in words is "two hundred forty-nine billion, eight hundred ninety-eight million, eight hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 35023 56629 70046 105069 113258 169887 210138 245161 315207 339774 396403 490322 509661 630414 735483 792806 1019322 1189209 1470966 2206449 2378418 3567627 4412898 7135254 1983317467 3966634934 5949952401 11899904802 13883222269 17849857203 27766444538 35699714406 41649666807 83299333614 124949000421 249898000842