Search a number
-
+
1496664449280 = 283557112131923
BaseRepresentation
bin10101110001111000001…
…001110010000100000000
312022002011010012121100000
4111301320021302010000
5144010132044334110
63103320321200000
7213062511625620
oct25617011620400
95262133177300
101496664449280
11527806077800
12202091a90000
13ab19a367960
1452620678880
1528de96231c0
hex15c78272100

1496664449280 has 5184 divisors, whose sum is σ = 7979660881920. Its totient is φ = 260138926080.

The previous prime is 1496664449279. The next prime is 1496664449297. The reversal of 1496664449280 is 829444666941.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 65072367349 + ... + 65072367371.

Almost surely, 21496664449280 is an apocalyptic number.

1496664449280 is a gapful number since it is divisible by the number (10) 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 1496664449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989830440960).

1496664449280 is an abundant number, since it is smaller than the sum of its proper divisors (6482996432640).

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

1496664449280 is a wasteful number, since it uses less digits than its factorization.

1496664449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 1496664449280 in words is "one trillion, four hundred ninety-six billion, six hundred sixty-four million, four hundred forty-nine thousand, two hundred eighty".