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55347010900 = 2252920960101
BaseRepresentation
bin110011100010111100…
…000101110101010100
312021212020011110122121
4303202330011311110
51401322313322100
641232010305324
73666356554546
oct634274056524
9167766143577
1055347010900
1121521a43525
12a887728244
1352b07790bc
142970921696
15168dee451a
hexce2f05d54

55347010900 has 36 divisors (see below), whose sum is σ = 120118054140. Its totient is φ = 22136032000.

The previous prime is 55347010853. The next prime is 55347010913. The reversal of 55347010900 is 901074355.

55347010900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6139349316 + 49207661584 = 78354^2 + 221828^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 890850 + ... + 950950.

It is an arithmetic number, because the mean of its divisors is an integer number (3336612615).

Almost surely, 255347010900 is an apocalyptic number.

55347010900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55347010900 is an abundant number, since it is smaller than the sum of its proper divisors (64771043240).

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

55347010900 is a wasteful number, since it uses less digits than its factorization.

55347010900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69324 (or 69317 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 55347010900 in words is "fifty-five billion, three hundred forty-seven million, ten thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 9209 18418 36836 46045 60101 92090 120202 184180 230225 240404 300505 460450 601010 920900 1202020 1502525 3005050 6010100 553470109 1106940218 2213880436 2767350545 5534701090 11069402180 13836752725 27673505450 55347010900