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153254500050 = 235231228714411
BaseRepresentation
bin1000111010111010101…
…1100001011011010010
3112122120120101020122110
42032232223201123102
510002331123000200
6154223143450150
714033534520411
oct2165653413322
9478516336573
10153254500050
1159aa4196213
1225850756956
13115b48c0732
1475bbac5478
153ebe695b50
hex23aeae16d2

153254500050 has 96 divisors (see below), whose sum is σ = 392530305024. Its totient is φ = 39529512000.

The previous prime is 153254500043. The next prime is 153254500051. The reversal of 153254500050 is 50005452351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153254499990 and 153254500017.

It is not an unprimeable number, because it can be changed into a prime (153254500051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10627345 + ... + 10641755.

It is an arithmetic number, because the mean of its divisors is an integer number (4088857344).

Almost surely, 2153254500050 is an apocalyptic number.

153254500050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153254500050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196265152512).

153254500050 is an abundant number, since it is smaller than the sum of its proper divisors (239275804974).

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

153254500050 is a wasteful number, since it uses less digits than its factorization.

153254500050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16744 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 153254500050 in words is "one hundred fifty-three billion, two hundred fifty-four million, five hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 310 465 775 930 1550 2287 2325 4574 4650 6861 11435 13722 14411 22870 28822 34305 43233 57175 68610 70897 72055 86466 114350 141794 144110 171525 212691 216165 343050 354485 360275 425382 432330 446741 708970 720550 893482 1063455 1080825 1340223 1772425 2126910 2161650 2233705 2680446 3544850 4467410 5317275 6701115 10634550 11168525 13402230 22337050 32957957 33505575 65915914 67011150 98873871 164789785 197747742 329579570 494369355 823948925 988738710 1021696667 1647897850 2043393334 2471846775 3065090001 4943693550 5108483335 6130180002 10216966670 15325450005 25542416675 30650900010 51084833350 76627250025 153254500050