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42882900648 = 23372911377893
BaseRepresentation
bin100111111100000001…
…010010001010101000
311002200120202001201120
4213330001102022220
51200311010310043
631411121215240
73045451432650
oct477401221250
9132616661646
1042882900648
1117206308a65
128389491520
134075417233
14210b411360
1511aeb49983
hex9fc0522a8

42882900648 has 128 divisors (see below), whose sum is σ = 127870790400. Its totient is φ = 11724926976.

The previous prime is 42882900629. The next prime is 42882900653. The reversal of 42882900648 is 84600928824.

It is a self number, because there is not a number n which added to its sum of digits gives 42882900648.

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, 511590 + ... + 589482.

It is an arithmetic number, because the mean of its divisors is an integer number (998990550).

Almost surely, 242882900648 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 42882900648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63935395200).

42882900648 is an abundant number, since it is smaller than the sum of its proper divisors (84987889752).

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

42882900648 is a wasteful number, since it uses less digits than its factorization.

42882900648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78051 (or 78047 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 42882900648 in words is "forty-two billion, eight hundred eighty-two million, nine hundred thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 113 116 168 174 203 226 232 339 348 406 452 609 678 696 791 812 904 1218 1356 1582 1624 2373 2436 2712 3164 3277 4746 4872 6328 6554 9492 9831 13108 18984 19662 22939 26216 39324 45878 68817 77893 78648 91756 137634 155786 183512 233679 275268 311572 467358 545251 550536 623144 934716 1090502 1635753 1869432 2181004 2258897 3271506 4362008 4517794 6543012 6776691 8801909 9035588 13086024 13553382 15812279 17603818 18071176 26405727 27106764 31624558 35207636 47436837 52811454 54213528 61613363 63249116 70415272 94873674 105622908 123226726 126498232 184840089 189747348 211245816 246453452 255255361 369680178 379494696 492906904 510510722 739360356 765766083 1021021444 1478720712 1531532166 1786787527 2042042888 3063064332 3573575054 5360362581 6126128664 7147150108 10720725162 14294300216 21441450324 42882900648