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45246708432 = 24331393172377
BaseRepresentation
bin101010001000111010…
…011111101011010000
311022210022122221102000
4222020322133223100
51220131124132212
632441441554000
73161153450562
oct521072375320
9138708587360
1045246708432
1118209650812
128929045900
134361070573
14229332d332
15129c4221dc
hexa88e9fad0

45246708432 has 160 divisors (see below), whose sum is σ = 131277014400. Its totient is φ = 14920215552.

The previous prime is 45246708361. The next prime is 45246708461. The reversal of 45246708432 is 23480764254.

It is a happy number.

45246708432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19034028 + ... + 19036404.

It is an arithmetic number, because the mean of its divisors is an integer number (820481340).

Almost surely, 245246708432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45246708432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65638507200).

45246708432 is an abundant number, since it is smaller than the sum of its proper divisors (86030305968).

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

45246708432 is a wasteful number, since it uses less digits than its factorization.

45246708432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 45246708432 in words is "forty-five billion, two hundred forty-six million, seven hundred eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 317 417 432 556 634 834 951 1112 1251 1268 1668 1902 2224 2377 2502 2536 2853 3336 3753 3804 4754 5004 5072 5706 6672 7131 7506 7608 8559 9508 10008 11412 14262 15012 15216 17118 19016 20016 21393 22824 28524 30024 34236 38032 42786 44063 45648 57048 60048 64179 68472 85572 88126 114096 128358 132189 136944 171144 176252 256716 264378 330403 342288 352504 396567 513432 528756 660806 705008 753509 793134 991209 1026864 1057512 1189701 1321612 1507018 1586268 1982418 2115024 2260527 2379402 2643224 2973627 3014036 3172536 3964836 4521054 4758804 5286448 5947254 6028072 6345072 6781581 7929672 8920881 9042108 9517608 11894508 12056144 13563162 15859344 17841762 18084216 19035216 20344743 23789016 27126324 35683524 36168432 40689486 47578032 54252648 71367048 81378972 104737751 108505296 142734096 162757944 209475502 314213253 325515888 418951004 628426506 837902008 942639759 1256853012 1675804016 1885279518 2513706024 2827919277 3770559036 5027412048 5655838554 7541118072 11311677108 15082236144 22623354216 45246708432