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23657483074540 = 22575316211966897
BaseRepresentation
bin1010110000100001011111…
…10111111111101111101100
310002202122002200010120200211
411120100233313333233230
511100101011131341130
6122152033033432204
74661124325140430
oct530205767775754
9102678080116624
1023657483074540
1175a109a49aa87
1227a0b8b26b664
131027b77923cc3
145bb0578b29c0
152b05bac29a2a
hex15842fdffbec

23657483074540 has 96 divisors (see below), whose sum is σ = 57884958440064. Its totient is φ = 7953183313920.

The previous prime is 23657483074501. The next prime is 23657483074543. The reversal of 23657483074540 is 4547038475632.

It is not an unprimeable number, because it can be changed into a prime (23657483074543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11044372 + ... + 13011268.

It is an arithmetic number, because the mean of its divisors is an integer number (602968317084).

Almost surely, 223657483074540 is an apocalyptic number.

23657483074540 is a gapful number since it is divisible by the number (20) 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 23657483074540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28942479220032).

23657483074540 is an abundant number, since it is smaller than the sum of its proper divisors (34227475365524).

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

23657483074540 is a wasteful number, since it uses less digits than its factorization.

23657483074540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968587 (or 1968585 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 58.

The spelling of 23657483074540 in words is "twenty-three trillion, six hundred fifty-seven billion, four hundred eighty-three million, seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1621 1855 3242 3710 6484 7420 8105 11347 16210 22694 32420 45388 56735 85913 113470 171826 226940 343652 429565 601391 859130 1202782 1718260 1966897 2405564 3006955 3933794 6013910 7867588 9834485 12027820 13768279 19668970 27536558 39337940 55073116 68841395 104245541 137682790 208491082 275365580 416982164 521227705 729718787 1042455410 1459437574 2084910820 2918875148 3188340037 3648593935 6376680074 7297187870 12753360148 14594375740 15941700185 22318380259 31883400370 44636760518 63766800740 89273521036 111591901295 168982021961 223183802590 337964043922 446367605180 675928087844 844910109805 1182874153727 1689820219610 2365748307454 3379640439220 4731496614908 5914370768635 11828741537270 23657483074540