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38431444506 = 23721310055323
BaseRepresentation
bin100011110010101100…
…010100111000011010
310200012100112122212120
4203302230110320122
51112201422211011
625353303122110
72530236613500
oct436254247032
9120170478776
1038431444506
1115331604094
127546743336
133816109110
141c08140670
15eede49a06
hex8f2b14e1a

38431444506 has 48 divisors (see below), whose sum is σ = 96289782624. Its totient is φ = 10135764576.

The previous prime is 38431444481. The next prime is 38431444507. The reversal of 38431444506 is 60544413483.

It is a happy number.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38431444507) by changing a digit.

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, 5023840 + ... + 5031483.

It is an arithmetic number, because the mean of its divisors is an integer number (2006037138).

Almost surely, 238431444506 is an apocalyptic number.

38431444506 is an abundant number, since it is smaller than the sum of its proper divisors (57858338118).

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

38431444506 is a wasteful number, since it uses less digits than its factorization.

38431444506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055355 (or 10055348 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 38431444506 its reverse (60544413483), we get a palindrome (98975857989).

The spelling of 38431444506 in words is "thirty-eight billion, four hundred thirty-one million, four hundred forty-four thousand, five hundred six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 10055323 20110646 30165969 60331938 70387261 130719199 140774522 211161783 261438398 392157597 422323566 492710827 784315194 915034393 985421654 1478132481 1830068786 2745103179 2956264962 5490206358 6405240751 12810481502 19215722253 38431444506