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13341497976 = 233219109131683
BaseRepresentation
bin11000110110011011…
…10001101001111000
31021102210101022121200
430123031301221320
5204310410413401
610043510334200
7651420601362
oct143315615170
937383338550
1013341497976
115726a22994
12270405a360
13134806c101
14907c61d32
1553140b686
hex31b371a78

13341497976 has 192 divisors, whose sum is σ = 38733552000. Its totient is φ = 4136520960.

The previous prime is 13341497947. The next prime is 13341498007. The reversal of 13341497976 is 67979414331.

13341497976 is a `hidden beast` number, since 133 + 414 + 9 + 7 + 97 + 6 = 666.

It is a super-2 number, since 2×133414979762 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19533331 + ... + 19534013.

It is an arithmetic number, because the mean of its divisors is an integer number (201737250).

Almost surely, 213341497976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341497976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19366776000).

13341497976 is an abundant number, since it is smaller than the sum of its proper divisors (25392054024).

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

13341497976 is a wasteful number, since it uses less digits than its factorization.

13341497976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 947 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 13341497976 in words is "thirteen billion, three hundred forty-one million, four hundred ninety-seven thousand, nine hundred seventy-six".