Search a number
-
+
64453142100 = 223521712637871
BaseRepresentation
bin111100000001101101…
…001110011001010100
320011100211221212022010
4330001231032121110
52024000001021400
645335342304220
74441131445164
oct740155163124
9204324855263
1064453142100
1125375133696
12105a9288070
136102208809
1431960825a4
151a23687450
hexf01b4e654

64453142100 has 72 divisors (see below), whose sum is σ = 197454112128. Its totient is φ = 16176473600.

The previous prime is 64453142093. The next prime is 64453142111. The reversal of 64453142100 is 124135446.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6313836 + ... + 6324035.

It is an arithmetic number, because the mean of its divisors is an integer number (2742418224).

Almost surely, 264453142100 is an apocalyptic number.

64453142100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64453142100 is an abundant number, since it is smaller than the sum of its proper divisors (133000970028).

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

64453142100 is a wasteful number, since it uses less digits than its factorization.

64453142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637905 (or 12637898 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 64453142100 its reverse (124135446), we get a palindrome (64577277546).

The spelling of 64453142100 in words is "sixty-four billion, four hundred fifty-three million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 12637871 25275742 37913613 50551484 63189355 75827226 126378710 151654452 189568065 214843807 252757420 315946775 379136130 429687614 631893550 644531421 758272260 859375228 947840325 1074219035 1263787100 1289062842 1895680650 2148438070 2578125684 3222657105 3791361300 4296876140 5371095175 6445314210 10742190350 12890628420 16113285525 21484380700 32226571050 64453142100