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5464414100 = 2252180130341
BaseRepresentation
bin1010001011011010…
…00101011110010100
3112002211020222221102
411011231011132110
542142342222400
62302121205232
7252261516305
oct50555053624
915084228842
105464414100
112354579212
121086030818
13691134332
1439ba327ac
1521eae09d5
hex145b45794

5464414100 has 36 divisors (see below), whose sum is σ = 11864753628. Its totient is φ = 2184480000.

The previous prime is 5464414069. The next prime is 5464414139. The reversal of 5464414100 is 14144645.

It can be written as a sum of positive squares in 6 ways, for example, as 1417673104 + 4046740996 = 37652^2 + 63614^2 .

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, 164930 + ... + 195270.

Almost surely, 25464414100 is an apocalyptic number.

5464414100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5464414100 is an abundant number, since it is smaller than the sum of its proper divisors (6400339528).

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

5464414100 is a wasteful number, since it uses less digits than its factorization.

5464414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32156 (or 32149 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5464414100 is about 73921.6754409693. The cubic root of 5464414100 is about 1761.3589388383.

Adding to 5464414100 its reverse (14144645), we get a palindrome (5478558745).

The spelling of 5464414100 in words is "five billion, four hundred sixty-four million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1801 3602 7204 9005 18010 30341 36020 45025 60682 90050 121364 151705 180100 303410 606820 758525 1517050 3034100 54644141 109288282 218576564 273220705 546441410 1092882820 1366103525 2732207050 5464414100