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23533504120 = 23571912233617
BaseRepresentation
bin10101111010101101…
…001100011001111000
32020202002102212122201
4111322231030121320
5341144034112440
614451112355544
71462116325120
oct257255143170
966662385581
1023533504120
119a8705aa65
1246893a5bb4
1322b0775189
1411d36c5c80
1592b09519a
hex57ab4c678

23533504120 has 128 divisors (see below), whose sum is σ = 63769420800. Its totient is φ = 7635603456.

The previous prime is 23533504117. The next prime is 23533504129. The reversal of 23533504120 is 2140533532.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23533504129) 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 31 ways as a sum of consecutive naturals, for example, 6504552 + ... + 6508168.

It is an arithmetic number, because the mean of its divisors is an integer number (498198600).

Almost surely, 223533504120 is an apocalyptic number.

23533504120 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 23533504120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31884710400).

23533504120 is an abundant number, since it is smaller than the sum of its proper divisors (40235916680).

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

23533504120 is a wasteful number, since it uses less digits than its factorization.

23533504120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The spelling of 23533504120 in words is "twenty-three billion, five hundred thirty-three million, five hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1223 1330 2446 2660 3617 4892 5320 6115 7234 8561 9784 12230 14468 17122 18085 23237 24460 25319 28936 34244 36170 42805 46474 48920 50638 68488 68723 72340 85610 92948 101276 116185 126595 137446 144680 162659 171220 185896 202552 232370 253190 274892 325318 342440 343615 464740 481061 506380 549784 650636 687230 813295 929480 962122 1012760 1301272 1374460 1626590 1924244 2405305 2748920 3253180 3848488 4423591 4810610 6506360 8847182 9621220 17694364 19242440 22117955 30965137 35388728 44235910 61930274 84048229 88471820 123860548 154825685 168096458 176943640 247721096 309651370 336192916 420241145 588337603 619302740 672385832 840482290 1176675206 1238605480 1680964580 2353350412 2941688015 3361929160 4706700824 5883376030 11766752060 23533504120