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55164003900 = 22352757324281
BaseRepresentation
bin110011011000000001…
…111110011000111100
312021101110210202020120
4303120001332120330
51400433441111100
641201512014540
73662005203465
oct633001763074
9167343722216
1055164003900
1121438707675
12a836391450
135281891635
1429544c3d6c
15167cde50a0
hexcd807e63c

55164003900 has 72 divisors (see below), whose sum is σ = 159635501424. Its totient is φ = 14707852800.

The previous prime is 55164003857. The next prime is 55164003929. The reversal of 55164003900 is 930046155.

It is a happy number.

55164003900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×551640039003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2259760 + ... + 2284040.

It is an arithmetic number, because the mean of its divisors is an integer number (2217159742).

Almost surely, 255164003900 is an apocalyptic number.

55164003900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55164003900 is an abundant number, since it is smaller than the sum of its proper divisors (104471497524).

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

55164003900 is a wasteful number, since it uses less digits than its factorization.

55164003900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31871 (or 31864 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 55164003900 in words is "fifty-five billion, one hundred sixty-four million, three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 7573 15146 22719 24281 30292 37865 45438 48562 72843 75730 90876 97124 113595 121405 145686 151460 189325 227190 242810 291372 364215 378650 454380 485620 567975 607025 728430 757300 1135950 1214050 1456860 1821075 2271900 2428100 3642150 7284300 183880013 367760026 551640039 735520052 919400065 1103280078 1838800130 2206560156 2758200195 3677600260 4597000325 5516400390 9194000650 11032800780 13791000975 18388001300 27582001950 55164003900