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105015000496 = 247937633933
BaseRepresentation
bin110000111001101100…
…0011011110110110000
3101001001200020202121211
41201303120123312300
53210032320003441
6120124311525504
710405240530130
oct1416330336660
9331050222554
10105015000496
114059a25920a
1218429389894
139b977c0c63
145123108ac0
152ae9655a81
hex187361bdb0

105015000496 has 20 divisors (see below), whose sum is σ = 232533215632. Its totient is φ = 45006428736.

The previous prime is 105015000451. The next prime is 105015000527. The reversal of 105015000496 is 694000510501.

It is a super-2 number, since 2×1050150004962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 468816855 + ... + 468817078.

Almost surely, 2105015000496 is an apocalyptic number.

105015000496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105015000496 is an abundant number, since it is smaller than the sum of its proper divisors (127518215136).

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

105015000496 is an equidigital number, since it uses as much as digits as its factorization.

105015000496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937633948 (or 937633942 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

Adding to 105015000496 its reverse (694000510501), we get a palindrome (799015510997).

The spelling of 105015000496 in words is "one hundred five billion, fifteen million, four hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 56 112 937633933 1875267866 3750535732 6563437531 7501071464 13126875062 15002142928 26253750124 52507500248 105015000496