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55354445355 = 35112107285031
BaseRepresentation
bin110011100011011000…
…011100111000101011
312021212202011011210210
4303203120130320223
51401331214222410
641232433512203
73666510010416
oct634330347053
9167782134723
1055354445355
1121526161100
12a88a112663
1352b217cca1
1429718d8b7d
15168e9b2220
hexce361ce2b

55354445355 has 48 divisors (see below), whose sum is σ = 98260791552. Its totient is φ = 26587598400.

The previous prime is 55354445353. The next prime is 55354445371.

55354445355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55354445355 - 21 = 55354445353 is a prime.

It is a super-2 number, since 2×553544453552 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55354445353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51690 + ... + 336720.

It is an arithmetic number, because the mean of its divisors is an integer number (2047099824).

Almost surely, 255354445355 is an apocalyptic number.

55354445355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55354445355 is a deficient number, since it is larger than the sum of its proper divisors (42906346197).

55354445355 is a wasteful number, since it uses less digits than its factorization.

55354445355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285168 (or 285157 counting only the distinct ones).

The product of its digits is 9000000, while the sum is 48.

The spelling of 55354445355 in words is "fifty-five billion, three hundred fifty-four million, four hundred forty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 107 121 165 321 363 535 605 1177 1605 1815 3531 5885 12947 17655 38841 64735 194205 285031 855093 1425155 3135341 4275465 9406023 15676705 30498317 34488751 47030115 91494951 103466253 152491585 172443755 335481487 457474755 517331265 1006444461 1677407435 3690296357 5032222305 11070889071 18451481785 55354445355