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116946532291680 = 2535572138356891
BaseRepresentation
bin11010100101110010111100…
…100000111101010001100000
3120100001222102220120202100000
4122211302330200331101200
5110312022444231313210
61052420254550500000
733430052042666400
oct3245627440752140
9510058386522300
10116946532291680
1134298822763943
1211149031064600
13503401a5b8850
1420c4357092800
15d7c0aaddcac0
hex6a5cbc83d460

116946532291680 has 1728 divisors, whose sum is σ = 524718724578048. Its totient is φ = 24376722370560.

The previous prime is 116946532291679. The next prime is 116946532291681. The reversal of 116946532291680 is 86192235649611.

116946532291680 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 4 + 6 + 532 + 2 + 9 + 16 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (116946532291679) and next prime (116946532291681).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116946532291681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2055596035 + ... + 2055652925.

It is an arithmetic number, because the mean of its divisors is an integer number (303656669316).

Almost surely, 2116946532291680 is an apocalyptic number.

116946532291680 is a gapful number since it is divisible by the number (10) 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 116946532291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262359362289024).

116946532291680 is an abundant number, since it is smaller than the sum of its proper divisors (407772192286368).

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

116946532291680 is a wasteful number, since it uses less digits than its factorization.

116946532291680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57031 (or 57004 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 116946532291680 in words is "one hundred sixteen trillion, nine hundred forty-six billion, five hundred thirty-two million, two hundred ninety-one thousand, six hundred eighty".