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24150145300 = 22521133795639
BaseRepresentation
bin10110011111011101…
…011111100100010100
32022100001202111022221
4112133131133210110
5343424414122200
615032221232124
71513314563611
oct263735374424
968301674287
1024150145300
11a273144676
12481ba02644
13237b449408
141251561508
1596529d91a
hex59f75f914

24150145300 has 72 divisors (see below), whose sum is σ = 53018481600. Its totient is φ = 9547614720.

The previous prime is 24150145267. The next prime is 24150145319. The reversal of 24150145300 is 354105142.

It is a happy number.

It is a super-2 number, since 2×241501453002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4279881 + ... + 4285519.

It is an arithmetic number, because the mean of its divisors is an integer number (736367800).

Almost surely, 224150145300 is an apocalyptic number.

24150145300 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 24150145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26509240800).

24150145300 is an abundant number, since it is smaller than the sum of its proper divisors (28868336300).

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

24150145300 is a wasteful number, since it uses less digits than its factorization.

24150145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 24150145300 in words is "twenty-four billion, one hundred fifty million, one hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 379 452 565 758 1130 1516 1895 2260 2825 3790 5639 5650 7580 9475 11278 11300 18950 22556 28195 37900 42827 56390 85654 112780 140975 171308 214135 281950 428270 563900 637207 856540 1070675 1274414 2137181 2141350 2548828 3186035 4274362 4282700 6372070 8548724 10685905 12744140 15930175 21371810 31860350 42743620 53429525 63720700 106859050 213718100 241501453 483002906 966005812 1207507265 2415014530 4830029060 6037536325 12075072650 24150145300