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83458000144 = 2453124978797
BaseRepresentation
bin100110110111001111…
…1000000010100010000
321222102022221200102101
41031232133000110100
52331410222001034
6102201242330144
76013111203451
oct1155637002420
9258368850371
1083458000144
1132437957842
1214211ab9954
137b4068754c
14407a123128
152286d81514
hex136e7c0510

83458000144 has 40 divisors (see below), whose sum is σ = 164884815000. Its totient is φ = 40908361728.

The previous prime is 83458000141. The next prime is 83458000151. The reversal of 83458000144 is 44100085438.

83458000144 = T235877 + T235878 + T235879.

It can be written as a sum of positive squares in 4 ways, for example, as 29373846544 + 54084153600 = 171388^2 + 232560^2 .

It is not an unprimeable number, because it can be changed into a prime (83458000141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019754 + ... + 1098550.

It is an arithmetic number, because the mean of its divisors is an integer number (4122120375).

Almost surely, 283458000144 is an apocalyptic number.

83458000144 is the 235879-th centered triangular number.

It is an amenable number.

83458000144 is a deficient number, since it is larger than the sum of its proper divisors (81426814856).

83458000144 is a wasteful number, since it uses less digits than its factorization.

83458000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80107 (or 80101 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 83458000144 in words is "eighty-three billion, four hundred fifty-eight million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 53 106 212 424 848 1249 2498 4996 9992 19984 66197 78797 132394 157594 264788 315188 529576 630376 1059152 1260752 4176241 8352482 16704964 33409928 66819856 98417453 196834906 393669812 787339624 1574679248 5216125009 10432250018 20864500036 41729000072 83458000144