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1316888496 = 243371125961
BaseRepresentation
bin100111001111110…
…0001111110110000
310101202221212102000
41032133201332300
510144110412441
6334401254000
744430240030
oct11637417660
93352855360
101316888496
11616392900
12309034300
1317ca9c081
14c6c798c0
157a9292b6
hex4e7e1fb0

1316888496 has 480 divisors, whose sum is σ = 4908019200. Its totient is φ = 330739200.

The previous prime is 1316888491. The next prime is 1316888519. The reversal of 1316888496 is 6948886131.

1316888496 is a `hidden beast` number, since 13 + 1 + 68 + 88 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316888491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21588306 + ... + 21588366.

It is an arithmetic number, because the mean of its divisors is an integer number (10225040).

Almost surely, 21316888496 is an apocalyptic number.

1316888496 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 1316888496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454009600).

1316888496 is an abundant number, since it is smaller than the sum of its proper divisors (3591130704).

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

1316888496 is a wasteful number, since it uses less digits than its factorization.

1316888496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 1316888496 is about 36288.9583206793. The cubic root of 1316888496 is about 1096.0987132927.

The spelling of 1316888496 in words is "one billion, three hundred sixteen million, eight hundred eighty-eight thousand, four hundred ninety-six".