Search a number
-
+
1496090445696 = 273471116311497
BaseRepresentation
bin10101110001010101111…
…100001000011110000000
312022000200010010012110000
4111301111330020132000
5144002443123230241
63103143334240000
7213042341652030
oct25612574103600
95260603105400
101496090445696
11527541065380
12201b517b6000
13ab108471972
14525a833b8c0
1528db403ceb6
hex15c55f08780

1496090445696 has 640 divisors, whose sum is σ = 5585511317760. Its totient is φ = 386177310720.

The previous prime is 1496090445683. The next prime is 1496090445769. The reversal of 1496090445696 is 6965440906941.

1496090445696 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 0 + 90 + 4 + 456 + 96 = 666.

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 79 ways as a sum of consecutive naturals, for example, 130123020 + ... + 130134516.

It is an arithmetic number, because the mean of its divisors is an integer number (8727361434).

Almost surely, 21496090445696 is an apocalyptic number.

1496090445696 is a gapful number since it is divisible by the number (16) 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 1496090445696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792755658880).

1496090445696 is an abundant number, since it is smaller than the sum of its proper divisors (4089420872064).

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

1496090445696 is a wasteful number, since it uses less digits than its factorization.

1496090445696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11704 (or 11683 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 1496090445696 in words is "one trillion, four hundred ninety-six billion, ninety million, four hundred forty-five thousand, six hundred ninety-six".