Search a number
-
+
497215488000 = 2143537111051
BaseRepresentation
bin1110011110001000101…
…10100100000000000000
31202112101210122211212110
413033010112210000000
531121244131104000
61020230113255320
750631314625510
oct7170426440000
91675353584773
10497215488000
111819601a9410
1280444564540
1337b6c2b433a
141a0cb4b1840
15ce01457850
hex73c45a4000

497215488000 has 960 divisors, whose sum is σ = 2064943835136. Its totient is φ = 103219200000.

The previous prime is 497215487999. The next prime is 497215488013. The reversal of 497215488000 is 884512794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 473087475 + ... + 473088525.

Almost surely, 2497215488000 is an apocalyptic number.

497215488000 is a gapful number since it is divisible by the number (40) 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 497215488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032471917568).

497215488000 is an abundant number, since it is smaller than the sum of its proper divisors (1567728347136).

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

497215488000 is a wasteful number, since it uses less digits than its factorization.

497215488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 497215488000 in words is "four hundred ninety-seven billion, two hundred fifteen million, four hundred eighty-eight thousand".