Search a number
-
+
491033460736 = 2217133183
BaseRepresentation
bin1110010010100111110…
…00000000000000000000
31201221102222002022201201
413021103320000000000
531021114031220421
61013324435110544
750322160356430
oct7112370000000
91657388068651
10491033460736
1117a278650875
127b1ba142454
13373c55b4a40
1419aa243c2c0
15cb8d865b91
hex7253e00000

491033460736 has 352 divisors, whose sum is σ = 1262720083968. Its totient is φ = 185723781120.

The previous prime is 491033460719. The next prime is 491033460739. The reversal of 491033460736 is 637064330194.

It is a happy number.

It is a super-2 number, since 2×4910334607362 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491033460739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5916065751 + ... + 5916065833.

Almost surely, 2491033460736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491033460736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631360041984).

491033460736 is an abundant number, since it is smaller than the sum of its proper divisors (771686623232).

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

491033460736 is an frugal number, since it uses more digits than its factorization.

491033460736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 46.

The spelling of 491033460736 in words is "four hundred ninety-one billion, thirty-three million, four hundred sixty thousand, seven hundred thirty-six".