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1316005056 = 26341931431
BaseRepresentation
bin100111001110000…
…1010010011000000
310101201021222120000
41032130022103000
510143344130211
6334330320000
744416600302
oct11634122300
93351258500
101316005056
1161593a093
12308889000
1317c84cc22
14c6ac9972
157a802656
hex4e70a4c0

1316005056 has 280 divisors, whose sum is σ = 4248668160. Its totient is φ = 401241600.

The previous prime is 1316005049. The next prime is 1316005073. The reversal of 1316005056 is 6505006131.

It is a happy number.

1316005056 is a `hidden beast` number, since 1 + 3 + 1 + 600 + 5 + 0 + 56 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3053161 + ... + 3053591.

Almost surely, 21316005056 is an apocalyptic number.

1316005056 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 1316005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124334080).

1316005056 is an abundant number, since it is smaller than the sum of its proper divisors (2932663104).

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

1316005056 is a wasteful number, since it uses less digits than its factorization.

1316005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1316005056 is about 36276.7839809430. The cubic root of 1316005056 is about 1095.8535510362.

The spelling of 1316005056 in words is "one billion, three hundred sixteen million, five thousand, fifty-six".