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10242415344500 = 225331764620917
BaseRepresentation
bin1001010100001011111110…
…0001110011101101110100
31100021011110112110200120222
42111002333201303231310
52320302431312011000
633441144535113512
72104663412644643
oct225027741635564
940234415420528
1010242415344500
113299869496339
121195070212898
13593b17a58c81
14275a424b335a
1512b666e56a85
hex950bf873b74

10242415344500 has 48 divisors (see below), whose sum is σ = 22440001501008. Its totient is φ = 4084041891200.

The previous prime is 10242415344481. The next prime is 10242415344529. The reversal of 10242415344500 is 544351424201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9051649891216 + 1190765453284 = 3008596^2 + 1091222^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32151959 + ... + 32468958.

It is an arithmetic number, because the mean of its divisors is an integer number (467500031271).

Almost surely, 210242415344500 is an apocalyptic number.

10242415344500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242415344500 is an abundant number, since it is smaller than the sum of its proper divisors (12197586156508).

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

10242415344500 is a wasteful number, since it uses less digits than its factorization.

10242415344500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64621253 (or 64621241 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10242415344500 its reverse (544351424201), we get a palindrome (10786766768701).

The spelling of 10242415344500 in words is "ten trillion, two hundred forty-two billion, four hundred fifteen million, three hundred forty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 317 500 634 1268 1585 3170 6340 7925 15850 31700 39625 79250 158500 64620917 129241834 258483668 323104585 646209170 1292418340 1615522925 3231045850 6462091700 8077614625 16155229250 20484830689 32310458500 40969661378 81939322756 102424153445 204848306890 409696613780 512120767225 1024241534450 2048483068900 2560603836125 5121207672250 10242415344500