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23544542320 = 2451335396397
BaseRepresentation
bin10101111011010111…
…010011010001110000
32020202212012200012221
4111323113103101300
5341204400323240
614452145130424
71462312210345
oct257327232160
966685180187
1023544542320
119a9230a142
124691029a14
1322b2b3b460
1411d4d5a7cc
1592c025a4a
hex57b5d3470

23544542320 has 80 divisors (see below), whose sum is σ = 58977787680. Its totient is φ = 8689554432.

The previous prime is 23544542279. The next prime is 23544542339. The reversal of 23544542320 is 2324544532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×235445423204 (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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, 3677362 + ... + 3683758.

It is an arithmetic number, because the mean of its divisors is an integer number (737222346).

Almost surely, 223544542320 is an apocalyptic number.

23544542320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23544542320 is an abundant number, since it is smaller than the sum of its proper divisors (35433245360).

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

23544542320 is a wasteful number, since it uses less digits than its factorization.

23544542320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9962 (or 9956 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

It can be divided in two parts, 235445 and 42320, that multiplied together give a square (9964032400 = 998202).

The spelling of 23544542320 in words is "twenty-three billion, five hundred forty-four million, five hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3539 6397 7078 12794 14156 17695 25588 28312 31985 35390 46007 51176 56624 63970 70780 83161 92014 102352 127940 141560 166322 184028 230035 255880 283120 332644 368056 415805 460070 511760 665288 736112 831610 920140 1330576 1663220 1840280 3326440 3680560 6652880 22638983 45277966 90555932 113194915 181111864 226389830 294306779 362223728 452779660 588613558 905559320 1177227116 1471533895 1811118640 2354454232 2943067790 4708908464 5886135580 11772271160 23544542320