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20465112500 = 225572310169
BaseRepresentation
bin10011000011110100…
…001101010110110100
31221211020201102122122
4103003310031112310
5313403032100000
613222422215112
71323100405010
oct230364152664
957736642578
1020465112500
118752027a18
123b71884498
131c11b66231
14dc1d99540
157eb9e2085
hex4c3d0d5b4

20465112500 has 144 divisors (see below), whose sum is σ = 53389082880. Its totient is φ = 6710880000.

The previous prime is 20465112497. The next prime is 20465112509. The reversal of 20465112500 is 521156402.

It is a self number, because there is not a number n which added to its sum of digits gives 20465112500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20465112509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007416 + ... + 2017584.

It is an arithmetic number, because the mean of its divisors is an integer number (370757520).

Almost surely, 220465112500 is an apocalyptic number.

20465112500 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 20465112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26694541440).

20465112500 is an abundant number, since it is smaller than the sum of its proper divisors (32923970380).

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

20465112500 is a wasteful number, since it uses less digits than its factorization.

20465112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10228 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 20465112500 its reverse (521156402), we get a palindrome (20986268902).

The spelling of 20465112500 in words is "twenty billion, four hundred sixty-five million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 575 625 644 700 805 875 1150 1250 1610 1750 2300 2500 2875 3125 3220 3500 4025 4375 5750 6250 8050 8750 10169 11500 12500 14375 16100 17500 20125 20338 21875 28750 40250 40676 43750 50845 57500 71183 71875 80500 87500 100625 101690 142366 143750 201250 203380 233887 254225 284732 287500 355915 402500 467774 503125 508450 711830 935548 1006250 1016900 1169435 1271125 1423660 1637209 1779575 2012500 2338870 2542250 3274418 3559150 4677740 5084500 5847175 6355625 6548836 7118300 8186045 8897875 11694350 12711250 16372090 17795750 23388700 25422500 29235875 31778125 32744180 35591500 40930225 44489375 58471750 63556250 81860450 88978750 116943500 127112500 146179375 163720900 177957500 204651125 222446875 292358750 409302250 444893750 584717500 730896875 818604500 889787500 1023255625 1461793750 2046511250 2923587500 4093022500 5116278125 10232556250 20465112500