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437413800045 = 35397195137649
BaseRepresentation
bin1100101110101111110…
…01001110100001101101
31112211001010020100002210
412113113321032201231
524131310413100140
6532540051441033
743413343645155
oct6272771164155
91484033210083
10437413800045
11159562761102
1270934bb6179
133232b970071
14172570c1765
15b5a1328d80
hex65d7e4e86d

437413800045 has 32 divisors (see below), whose sum is σ = 702003225600. Its totient is φ = 232574284800.

The previous prime is 437413800023. The next prime is 437413800053. The reversal of 437413800045 is 540008314734.

It is not a de Polignac number, because 437413800045 - 213 = 437413791853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 437413799976 and 437413800012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11599381 + ... + 11637029.

It is an arithmetic number, because the mean of its divisors is an integer number (21937600800).

Almost surely, 2437413800045 is an apocalyptic number.

It is an amenable number.

437413800045 is a deficient number, since it is larger than the sum of its proper divisors (264589425555).

437413800045 is a wasteful number, since it uses less digits than its factorization.

437413800045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40005.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 437413800045 in words is "four hundred thirty-seven billion, four hundred thirteen million, eight hundred thousand, forty-five".

Divisors: 1 3 5 15 397 1191 1951 1985 5853 5955 9755 29265 37649 112947 188245 564735 774547 2323641 3872735 11618205 14946653 44839959 73453199 74733265 220359597 224199795 367265995 1101797985 29160920003 87482760009 145804600015 437413800045