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23581388040 = 23357137204913
BaseRepresentation
bin10101111101100011…
…110110110100001000
32020212102112122001020
4111331203312310020
5341243313404130
614455542552440
71463240330310
oct257543666410
966772478036
1023581388040
11a001095951
1246a1438720
1322ba66c362
1411d9bcc440
159303a2e10
hex57d8f6d08

23581388040 has 128 divisors (see below), whose sum is σ = 81441020160. Its totient is φ = 5350662144.

The previous prime is 23581388027. The next prime is 23581388069. The reversal of 23581388040 is 4088318532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23581387983 and 23581388001.

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 31 ways as a sum of consecutive naturals, for example, 12624 + ... + 217536.

It is an arithmetic number, because the mean of its divisors is an integer number (636257970).

Almost surely, 223581388040 is an apocalyptic number.

23581388040 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 23581388040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40720510080).

23581388040 is an abundant number, since it is smaller than the sum of its proper divisors (57859632120).

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

23581388040 is a wasteful number, since it uses less digits than its factorization.

23581388040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205071 (or 205067 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 23581388040 in words is "twenty-three billion, five hundred eighty-one million, three hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1918 2055 2740 2877 3288 3836 4110 4795 5480 5754 7672 8220 9590 11508 14385 16440 19180 23016 28770 38360 57540 115080 204913 409826 614739 819652 1024565 1229478 1434391 1639304 2049130 2458956 2868782 3073695 4098260 4303173 4917912 5737564 6147390 7171955 8196520 8606346 11475128 12294780 14343910 17212692 21515865 24589560 28073081 28687820 34425384 43031730 56146162 57375640 84219243 86063460 112292324 140365405 168438486 172126920 196511567 224584648 280730810 336876972 393023134 421096215 561461620 589534701 673753944 786046268 842192430 982557835 1122923240 1179069402 1572092536 1684384860 1965115670 2358138804 2947673505 3368769720 3930231340 4716277608 5895347010 7860462680 11790694020 23581388040