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23530554040 = 23573710721227
BaseRepresentation
bin10101111010100001…
…111100001010111000
32020201212212222220111
4111322201330022320
5341142310212130
614450525234104
71462052260240
oct257241741270
966655788814
1023530554040
119a85425584
124688402934
1322acc81476
1411d3158b20
1592abb102a
hex57a87c2b8

23530554040 has 128 divisors (see below), whose sum is σ = 62726192640. Its totient is φ = 7775847936.

The previous prime is 23530554037. The next prime is 23530554067. The reversal of 23530554040 is 4045503532.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23530553993 and 23530554011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097907 + ... + 1119133.

It is an arithmetic number, because the mean of its divisors is an integer number (490048380).

Almost surely, 223530554040 is an apocalyptic number.

23530554040 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 23530554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31363096320).

23530554040 is an abundant number, since it is smaller than the sum of its proper divisors (39195638600).

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

23530554040 is a wasteful number, since it uses less digits than its factorization.

23530554040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21389 (or 21385 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 23530554040 in words is "twenty-three billion, five hundred thirty million, five hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 107 140 148 185 214 259 280 296 370 428 518 535 740 749 856 1036 1070 1295 1480 1498 2072 2140 2590 2996 3745 3959 4280 5180 5992 7490 7918 10360 14980 15836 19795 21227 27713 29960 31672 39590 42454 55426 79180 84908 106135 110852 138565 148589 158360 169816 212270 221704 277130 297178 424540 554260 594356 742945 785399 849080 1108520 1188712 1485890 1570798 2271289 2971780 3141596 3926995 4542578 5497793 5943560 6283192 7853990 9085156 10995586 11356445 15707980 15899023 18170312 21991172 22712890 27488965 31415960 31798046 43982344 45425780 54977930 63596092 79495115 84037693 90851560 109955860 127192184 158990230 168075386 219911720 317980460 336150772 420188465 588263851 635960920 672301544 840376930 1176527702 1680753860 2353055404 2941319255 3361507720 4706110808 5882638510 11765277020 23530554040