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40499546346 = 2337215305951
BaseRepresentation
bin100101101101111101…
…100000100011101010
310212112111001010021000
4211231331200203222
51130420340440341
630334421455430
72632421315100
oct455575404352
9125474033230
1040499546346
11161a2a35666
127a23271576
133a8570900c
141d62a85c70
1510c07b08b6
hex96df608ea

40499546346 has 48 divisors (see below), whose sum is σ = 104692711680. Its totient is φ = 11571298200.

The previous prime is 40499546341. The next prime is 40499546359. The reversal of 40499546346 is 64364599404.

40499546346 is a `hidden beast` number, since 4 + 0 + 4 + 99 + 546 + 3 + 4 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40499546292 and 40499546301.

It is not an unprimeable number, because it can be changed into a prime (40499546341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7650330 + ... + 7655621.

It is an arithmetic number, because the mean of its divisors is an integer number (2181098160).

Almost surely, 240499546346 is an apocalyptic number.

40499546346 is an abundant number, since it is smaller than the sum of its proper divisors (64193165334).

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

40499546346 is a wasteful number, since it uses less digits than its factorization.

40499546346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305976 (or 15305963 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 40499546346 in words is "forty billion, four hundred ninety-nine million, five hundred forty-six thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 15305951 30611902 45917853 91835706 107141657 137753559 214283314 275507118 321424971 413260677 642849942 749991599 826521354 964274913 1499983198 1928549826 2249974797 2892824739 4499949594 5785649478 6749924391 13499848782 20249773173 40499546346