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499741914672 = 243271113171091871
BaseRepresentation
bin1110100010110101111…
…00000111011000110000
31202202220212120121201200
413101122330013120300
531141432412232142
61021324523331200
751051033121110
oct7213274073060
91682825517650
10499741914672
11182a37312140
1280a2a680b00
1338182837170
141a28ac41040
15ceed15364c
hex745af07630

499741914672 has 960 divisors, whose sum is σ = 2007591505920. Its totient is φ = 111675801600.

The previous prime is 499741914631. The next prime is 499741914691. The reversal of 499741914672 is 276419147994.

499741914672 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 419 + 146 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 267097897 + ... + 267099767.

It is an arithmetic number, because the mean of its divisors is an integer number (2091241152).

Almost surely, 2499741914672 is an apocalyptic number.

499741914672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499741914672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003795752960).

499741914672 is an abundant number, since it is smaller than the sum of its proper divisors (1507849591248).

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

499741914672 is a wasteful number, since it uses less digits than its factorization.

499741914672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2033 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 499741914672 in words is "four hundred ninety-nine billion, seven hundred forty-one million, nine hundred fourteen thousand, six hundred seventy-two".