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23555557920 = 2535197249107
BaseRepresentation
bin10101111100000001…
…010100101000100000
32020210121221022210010
4111330001110220200
5341220210323140
614453221204520
71462504636656
oct257401245040
966717838703
1023555557920
119a98553344
124694860740
1322b51c736b
1411d65c6dd6
1592ce9e880
hex57c054a20

23555557920 has 96 divisors (see below), whose sum is σ = 74576956608. Its totient is φ = 6249571328.

The previous prime is 23555557919. The next prime is 23555557997. The reversal of 23555557920 is 2975555532.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23555557920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29994 + ... + 219113.

It is an arithmetic number, because the mean of its divisors is an integer number (776843298).

Almost surely, 223555557920 is an apocalyptic number.

23555557920 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 23555557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37288478304).

23555557920 is an abundant number, since it is smaller than the sum of its proper divisors (51021398688).

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

23555557920 is a wasteful number, since it uses less digits than its factorization.

23555557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249322 (or 249314 counting only the distinct ones).

The product of its (nonzero) digits is 2362500, while the sum is 48.

The spelling of 23555557920 in words is "twenty-three billion, five hundred fifty-five million, five hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 249107 498214 747321 996428 1245535 1494642 1992856 2491070 2989284 3736605 3985712 4982140 5978568 7473210 7971424 9964280 11957136 14946420 19928560 23914272 29892840 39857120 49074079 59785680 98148158 119571360 147222237 196296316 245370395 294444474 392592632 490740790 588888948 736111185 785185264 981481580 1177777896 1472222370 1570370528 1962963160 2355555792 2944444740 3925926320 4711111584 5888889480 7851852640 11777778960 23555557920