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245609448100 = 2252495592
BaseRepresentation
bin1110010010111101110…
…1101100001010100100
3212110221221111201011221
43210233131230022210
513011002004314400
6304455330510124
723513300601622
oct3445735541244
9773857451157
10245609448100
1195187148665
123b726135344
131a2125864a3
14bc5d676512
1565c7649c1a
hex392f76c2a4

245609448100 has 27 divisors (see below), whose sum is σ = 532983256897. Its totient is φ = 98241796880.

The previous prime is 245609448061. The next prime is 245609448109. The reversal of 245609448100 is 1844906542.

The square root of 245609448100 is 495590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88419401316 + 157190046784 = 297354^2 + 396472^2 .

It is a super-2 number, since 2×2456094481002 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245609448109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4931121 + ... + 4980679.

Almost surely, 2245609448100 is an apocalyptic number.

245609448100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245609448100 is the 495590-th square number.

It is an amenable number.

245609448100 is an abundant number, since it is smaller than the sum of its proper divisors (287373808797).

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

245609448100 is an frugal number, since it uses more digits than its factorization.

245609448100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99132 (or 49566 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 245609448100 in words is "two hundred forty-five billion, six hundred nine million, four hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 49559 99118 198236 247795 495590 991180 1238975 2477950 4955900 2456094481 4912188962 9824377924 12280472405 24560944810 49121889620 61402362025 122804724050 245609448100