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45215711000 = 2353711633907
BaseRepresentation
bin101010000111000100…
…001111111100011000
311022201011100002220222
4222013010033330120
51220100210223000
632434413335212
73160326126215
oct520704177430
9138634302828
1045215711000
11181a30a99a9
12891a797508
1343578095a5
14228d180b0c
15129984ca85
hexa8710ff18

45215711000 has 128 divisors (see below), whose sum is σ = 107980853760. Its totient is φ = 17717616000.

The previous prime is 45215710957. The next prime is 45215711081. The reversal of 45215711000 is 11751254.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11571047 + ... + 11574953.

It is an arithmetic number, because the mean of its divisors is an integer number (843600420).

Almost surely, 245215711000 is an apocalyptic number.

45215711000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45215711000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53990426880).

45215711000 is an abundant number, since it is smaller than the sum of its proper divisors (62765142760).

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

45215711000 is a wasteful number, since it uses less digits than its factorization.

45215711000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 26.

The spelling of 45215711000 in words is "forty-five billion, two hundred fifteen million, seven hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 163 200 250 284 326 355 500 568 652 710 815 1000 1304 1420 1630 1775 2840 3260 3550 3907 4075 6520 7100 7814 8150 8875 11573 14200 15628 16300 17750 19535 20375 23146 31256 32600 35500 39070 40750 46292 57865 71000 78140 81500 92584 97675 115730 156280 163000 195350 231460 277397 289325 390700 462920 488375 554794 578650 636841 781400 976750 1109588 1157300 1273682 1386985 1446625 1953500 2219176 2314600 2547364 2773970 2893250 3184205 3907000 5094728 5547940 5786500 6368410 6934925 11095880 11573000 12736820 13869850 15921025 25473640 27739700 31842050 34674625 45215711 55479400 63684100 69349250 79605125 90431422 127368200 138698500 159210250 180862844 226078555 277397000 318420500 361725688 452157110 636841000 904314220 1130392775 1808628440 2260785550 4521571100 5651963875 9043142200 11303927750 22607855500 45215711000