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45452148042 = 23721916349919
BaseRepresentation
bin101010010101001010…
…001011110101001010
311100022122020100120110
4222111022023311022
51221041222214132
632514101135150
73166226612100
oct522512136512
9140278210513
1045452148042
1118304609614
1289859ba4b6
1343947b0772
1422b2729c70
1512b04a31cc
hexa9528bd4a

45452148042 has 96 divisors (see below), whose sum is σ = 111996518400. Its totient is φ = 12227114592.

The previous prime is 45452148011. The next prime is 45452148043. The reversal of 45452148042 is 24084125454.

It is not an unprimeable number, because it can be changed into a prime (45452148043) 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 47 ways as a sum of consecutive naturals, for example, 885559 + ... + 935477.

It is an arithmetic number, because the mean of its divisors is an integer number (1166630400).

Almost surely, 245452148042 is an apocalyptic number.

45452148042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45452148042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55998259200).

45452148042 is an abundant number, since it is smaller than the sum of its proper divisors (66544370358).

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

45452148042 is a wasteful number, since it uses less digits than its factorization.

45452148042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50120 (or 50113 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

The spelling of 45452148042 in words is "forty-five billion, four hundred fifty-two million, one hundred forty-eight thousand, forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 163 266 294 326 399 489 798 931 978 1141 1862 2282 2793 3097 3423 5586 6194 6846 7987 9291 15974 18582 21679 23961 43358 47922 49919 65037 99838 130074 149757 151753 299514 303506 349433 455259 698866 910518 948461 1048299 1896922 2096598 2446031 2845383 4892062 5690766 6639227 7338093 8136797 13278454 14676186 16273594 19917681 24410391 39835362 46474589 48820782 56957579 92949178 113915158 139423767 154599143 170872737 278847534 309198286 341745474 398703053 463797429 797406106 927594858 1082194001 1196109159 2164388002 2392218318 3246582003 6493164006 7575358007 15150716014 22726074021 45452148042