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1316195892 = 223511219231
BaseRepresentation
bin100111001110011…
…1000111000110100
310101201122200100000
41032130320320310
510143421232032
6334334351300
744421323544
oct11634707064
93351580300
101316195892
11615a5a500
1230895b530
1317c8b8a4b
14c6b39324
157a83de7c
hex4e738e34

1316195892 has 324 divisors, whose sum is σ = 4131673728. Its totient is φ = 365666400.

The previous prime is 1316195887. The next prime is 1316195897. The reversal of 1316195892 is 2985916131.

1316195892 is a `hidden beast` number, since 1 + 3 + 1 + 61 + 9 + 589 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1316195887) and next prime (1316195897).

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-3 number, since 3×13161958923 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316195897) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 42457917 + ... + 42457947.

Almost surely, 21316195892 is an apocalyptic number.

1316195892 is a gapful number since it is divisible by the number (12) 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 1316195892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065836864).

1316195892 is an abundant number, since it is smaller than the sum of its proper divisors (2815477836).

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

1316195892 is a wasteful number, since it uses less digits than its factorization.

1316195892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 66 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1316195892 is about 36279.4141628555. The cubic root of 1316195892 is about 1095.9065189685.

The spelling of 1316195892 in words is "one billion, three hundred sixteen million, one hundred ninety-five thousand, eight hundred ninety-two".