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116000578848 = 253721114271571
BaseRepresentation
bin110110000001000101…
…1000101110100100000
3102002102021112222002010
41230002023011310200
53400032122010343
6125142342552520
711244413436300
oct1540213056440
9362367488063
10116000578848
1145217336890
121a594438740
13ac2873928b
145886103600
15303dce6d33
hex1b022c5d20

116000578848 has 288 divisors, whose sum is σ = 386934444288. Its totient is φ = 30089740800.

The previous prime is 116000578847. The next prime is 116000578877. The reversal of 116000578848 is 848875000611.

It is a happy number.

It is a super-2 number, since 2×1160005788482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 116000578797 and 116000578806.

It is not an unprimeable number, because it can be changed into a prime (116000578847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73837903 + ... + 73839473.

It is an arithmetic number, because the mean of its divisors is an integer number (1343522376).

Almost surely, 2116000578848 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 116000578848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193467222144).

116000578848 is an abundant number, since it is smaller than the sum of its proper divisors (270933865440).

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

116000578848 is a wasteful number, since it uses less digits than its factorization.

116000578848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 116000578848 in words is "one hundred sixteen billion, five hundred seventy-eight thousand, eight hundred forty-eight".