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116640084540672 = 28367112898291
BaseRepresentation
bin11010100001010101100010…
…110011100011110100000000
3120021222200110001002001000000
4122201111202303203310000
5110242012343120300142
61052023414244000000
733365653013044110
oct3241254263436400
9507880401061000
10116640084540672
113418a866a16900
12110b9768390000
135011160a01074
1420b35a58ab040
15d7412264e14c
hex6a1562ce3d00

116640084540672 has 1512 divisors, whose sum is σ = 443490675284160. Its totient is φ = 29952106905600.

The previous prime is 116640084540653. The next prime is 116640084540697. The reversal of 116640084540672 is 276045480046611.

116640084540672 is a `hidden beast` number, since 1 + 1 + 66 + 400 + 84 + 5 + 40 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-3 number, since 3×1166400845406723 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14068272847 + ... + 14068281137.

It is an arithmetic number, because the mean of its divisors is an integer number (293313938680).

Almost surely, 2116640084540672 is an apocalyptic number.

116640084540672 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 116640084540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221745337642080).

116640084540672 is an abundant number, since it is smaller than the sum of its proper divisors (326850590743488).

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

116640084540672 is an frugal number, since it uses more digits than its factorization.

116640084540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8443 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 116640084540672 in words is "one hundred sixteen trillion, six hundred forty billion, eighty-four million, five hundred forty thousand, six hundred seventy-two".