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1958081412 = 223786327011
BaseRepresentation
bin111010010110101…
…1111001110000100
312001110110211201210
41310231133032010
513002232101122
6522144251420
766344263110
oct16455371604
95043424653
101958081412
11915316601
12467910b70
1325288b471
141480a6740
15b6d8240c
hex74b5f384

1958081412 has 48 divisors (see below), whose sum is σ = 5227794432. Its totient is φ = 558782880.

The previous prime is 1958081407. The next prime is 1958081417. The reversal of 1958081412 is 2141808591.

It is an interprime number because it is at equal distance from previous prime (1958081407) and next prime (1958081417).

It is not an unprimeable number, because it can be changed into a prime (1958081417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58987 + ... + 85997.

It is an arithmetic number, because the mean of its divisors is an integer number (108912384).

Almost surely, 21958081412 is an apocalyptic number.

1958081412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1958081412 is an abundant number, since it is smaller than the sum of its proper divisors (3269713020).

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

1958081412 is a wasteful number, since it uses less digits than its factorization.

1958081412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27888 (or 27886 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 1958081412 is about 44250.2136943993. The cubic root of 1958081412 is about 1251.0564747307.

The spelling of 1958081412 in words is "one billion, nine hundred fifty-eight million, eighty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 863 1726 2589 3452 5178 6041 10356 12082 18123 24164 27011 36246 54022 72492 81033 108044 162066 189077 324132 378154 567231 756308 1134462 2268924 23310493 46620986 69931479 93241972 139862958 163173451 279725916 326346902 489520353 652693804 979040706 1958081412