Search a number
-
+
497820042720 = 2533571113197383
BaseRepresentation
bin1110011111010000110…
…00110000010111100000
31202120221221020102001000
413033220120300113200
531124013412331340
61020410111112000
750652305354640
oct7175030602740
91676857212030
10497820042720
11182140488310
1280592b12600
1337c37616120
141a1478c2520
15ce39574d30
hex73e86305e0

497820042720 has 3072 divisors, whose sum is σ = 2526341529600. Its totient is φ = 88146247680.

The previous prime is 497820042719. The next prime is 497820042757. The reversal of 497820042720 is 27240028794.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 5997831799 + ... + 5997831881.

It is an arithmetic number, because the mean of its divisors is an integer number (822376800).

Almost surely, 2497820042720 is an apocalyptic number.

497820042720 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 497820042720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263170764800).

497820042720 is an abundant number, since it is smaller than the sum of its proper divisors (2028521486880).

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

497820042720 is a wasteful number, since it uses less digits than its factorization.

497820042720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 497820042720 in words is "four hundred ninety-seven billion, eight hundred twenty million, forty-two thousand, seven hundred twenty".