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23583478368 = 2532913960943
BaseRepresentation
bin10101111101101011…
…110101001001100000
32020212120110211102210
4111331223311021200
5341244332301433
614500055442120
71463264154462
oct257553651140
966776424383
1023583478368
11a00229339a
1246a2086340
1322bac21938
1411da1b4132
15930667463
hex57daf5260

23583478368 has 96 divisors (see below), whose sum is σ = 64503129600. Its totient is φ = 7535356416.

The previous prime is 23583478363. The next prime is 23583478381. The reversal of 23583478368 is 86387438532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23583478363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356505 + ... + 417447.

It is an arithmetic number, because the mean of its divisors is an integer number (671907600).

Almost surely, 223583478368 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 23583478368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32251564800).

23583478368 is an abundant number, since it is smaller than the sum of its proper divisors (40919651232).

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

23583478368 is a wasteful number, since it uses less digits than its factorization.

23583478368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61124 (or 61116 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 23583478368 in words is "twenty-three billion, five hundred eighty-three million, four hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 139 174 232 278 348 417 464 556 696 834 928 1112 1392 1668 2224 2784 3336 4031 4448 6672 8062 12093 13344 16124 24186 32248 48372 60943 64496 96744 121886 128992 182829 193488 243772 365658 386976 487544 731316 975088 1462632 1767347 1950176 2925264 3534694 5302041 5850528 7069388 8471077 10604082 14138776 16942154 21208164 25413231 28277552 33884308 42416328 50826462 56555104 67768616 84832656 101652924 135537232 169665312 203305848 245661233 271074464 406611696 491322466 736983699 813223392 982644932 1473967398 1965289864 2947934796 3930579728 5895869592 7861159456 11791739184 23583478368