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55060601000 = 2353132141681
BaseRepresentation
bin110011010001110111…
…100001100010101000
312021010021020100010112
4303101313201202220
51400231003213000
641143335433452
73656311246346
oct632167414250
9167107210115
1055060601000
1121395301529
12a807825888
135266328ca2
142944888996
151673cbc235
hexcd1de18a8

55060601000 has 64 divisors (see below), whose sum is σ = 128942433360. Its totient is φ = 22007040000.

The previous prime is 55060600949. The next prime is 55060601009. The reversal of 55060601000 is 10606055.

It can be written as a sum of positive squares in 8 ways, for example, as 18851839204 + 36208761796 = 137302^2 + 190286^2 .

It is not an unprimeable number, because it can be changed into a prime (55060601009) 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 15 ways as a sum of consecutive naturals, for example, 1300160 + ... + 1341840.

Almost surely, 255060601000 is an apocalyptic number.

55060601000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55060601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64471216680).

55060601000 is an abundant number, since it is smaller than the sum of its proper divisors (73881832360).

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

55060601000 is a wasteful number, since it uses less digits than its factorization.

55060601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43023 (or 43009 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 55060601000 in words is "fifty-five billion, sixty million, six hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1321 2642 5284 6605 10568 13210 26420 33025 41681 52840 66050 83362 132100 165125 166724 208405 264200 330250 333448 416810 660500 833620 1042025 1321000 1667240 2084050 4168100 5210125 8336200 10420250 20840500 41681000 55060601 110121202 220242404 275303005 440484808 550606010 1101212020 1376515025 2202424040 2753030050 5506060100 6882575125 11012120200 13765150250 27530300500 55060601000