Search a number
-
+
495202873440 = 253511318336451
BaseRepresentation
bin1110011010011000110…
…01000011000001100000
31202100012112120102201110
413031030121003001200
531103133413422230
61015254300103320
750530405654542
oct7151431030140
91670175512643
10495202873440
111810181262a0
127bb82534b40
133790b341352
1419d7a091692
15cd349024b0
hex734c643060

495202873440 has 384 divisors, whose sum is σ = 1777803116544. Its totient is φ = 114773760000.

The previous prime is 495202873439. The next prime is 495202873441. The reversal of 495202873440 is 44378202594.

It is an interprime number because it is at equal distance from previous prime (495202873439) and next prime (495202873441).

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

It is a self number, because there is not a number n which added to its sum of digits gives 495202873440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495202873441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13567215 + ... + 13603665.

It is an arithmetic number, because the mean of its divisors is an integer number (4629695616).

Almost surely, 2495202873440 is an apocalyptic number.

495202873440 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 495202873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888901558272).

495202873440 is an abundant number, since it is smaller than the sum of its proper divisors (1282600243104).

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

495202873440 is a wasteful number, since it uses less digits than its factorization.

495202873440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36594 (or 36586 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 495202873440 in words is "four hundred ninety-five billion, two hundred two million, eight hundred seventy-three thousand, four hundred forty".