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54620364100 = 2252233712
BaseRepresentation
bin110010110111101000…
…001001110101000100
312012222120211222122011
4302313220021311010
51343330303122400
641031531544004
73642354302011
oct626750116504
9165876758564
1054620364100
1121189853a85
12a7042bb004
1351c606a093
14290220c708
15164a30b8ba
hexcb7a09d44

54620364100 has 27 divisors (see below), whose sum is σ = 118531261821. Its totient is φ = 21847210800.

The previous prime is 54620364067. The next prime is 54620364107. The reversal of 54620364100 is 146302645.

The square root of 54620364100 is 233710.

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., 19663331076 + 34957033024 = 140226^2 + 186968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54620364107) 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 8 ways as a sum of consecutive naturals, for example, 2325415 + ... + 2348785.

Almost surely, 254620364100 is an apocalyptic number.

54620364100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54620364100 is the 233710-th square number.

It is an amenable number.

54620364100 is an abundant number, since it is smaller than the sum of its proper divisors (63910897721).

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

54620364100 is an frugal number, since it uses more digits than its factorization.

54620364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46756 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 54620364100 its reverse (146302645), we get a palindrome (54766666745).

The spelling of 54620364100 in words is "fifty-four billion, six hundred twenty million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 23371 46742 93484 116855 233710 467420 584275 1168550 2337100 546203641 1092407282 2184814564 2731018205 5462036410 10924072820 13655091025 27310182050 54620364100