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23832608128 = 277375711259
BaseRepresentation
bin10110001100100010…
…001011110110000000
32021111221020221012221
4112030202023312000
5342302121430003
614540515300424
71502410553350
oct261442136600
967457227187
1023832608128
11a11a98225a
1247515aa714
13232a71b1b4
141221304b60
159474787bd
hex58c88bd80

23832608128 has 128 divisors (see below), whose sum is σ = 55870214400. Its totient is φ = 9912637440.

The previous prime is 23832608113. The next prime is 23832608167. The reversal of 23832608128 is 82180623832.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18929163 + ... + 18930421.

It is an arithmetic number, because the mean of its divisors is an integer number (436486050).

Almost surely, 223832608128 is an apocalyptic number.

23832608128 is a gapful number since it is divisible by the number (28) 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 23832608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27935107200).

23832608128 is an abundant number, since it is smaller than the sum of its proper divisors (32037606272).

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

23832608128 is a wasteful number, since it uses less digits than its factorization.

23832608128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

It can be divided in two parts, 23832608 and 128, that multiplied together give a square (3050573824 = 552322).

The spelling of 23832608128 in words is "twenty-three billion, eight hundred thirty-two million, six hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 571 592 896 1036 1142 1184 1259 2072 2284 2368 2518 3997 4144 4568 4736 5036 7994 8288 8813 9136 10072 15988 16576 17626 18272 20144 21127 31976 33152 35252 36544 40288 42254 46583 63952 70504 73088 80576 84508 93166 127904 141008 147889 161152 169016 186332 255808 282016 295778 326081 338032 372664 511616 564032 591556 652162 676064 718889 745328 1128064 1183112 1304324 1352128 1437778 1490656 2366224 2608648 2704256 2875556 2981312 4732448 5032223 5217296 5751112 5962624 9464896 10064446 10434592 11502224 18929792 20128892 20869184 23004448 26598893 40257784 41738368 46008896 53197786 80515568 92017792 106395572 161031136 186192251 212791144 322062272 372384502 425582288 644124544 744769004 851164576 1489538008 1702329152 2979076016 3404658304 5958152032 11916304064 23832608128