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116862161562432 = 263311132279072297
BaseRepresentation
bin11010100100100100010111…
…101000001010101101000000
3120022202220122222011121222000
4122210210113220022231000
5110304132201324444212
61052313422541144000
733421004206430046
oct3244442750125500
9508686588147860
10116862161562432
1134265a67680230
121113480555b000
135029092acbb10
1420c0231a5c396
15d79cbdd681dc
hex6a4917a0ab40

116862161562432 has 896 divisors, whose sum is σ = 406016528762880. Its totient is φ = 32494678917120.

The previous prime is 116862161562409. The next prime is 116862161562437. The reversal of 116862161562432 is 234265161268611.

116862161562432 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 6 + 2 + 1 + 6 + 1 + 5 + 624 + 3 + 2 = 666.

It is a super-3 number, since 3×1168621615624323 (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116862161562437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50875994308 + ... + 50875996604.

It is an arithmetic number, because the mean of its divisors is an integer number (453143447280).

Almost surely, 2116862161562432 is an apocalyptic number.

116862161562432 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 116862161562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203008264381440).

116862161562432 is an abundant number, since it is smaller than the sum of its proper divisors (289154367200448).

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

116862161562432 is a wasteful number, since it uses less digits than its factorization.

116862161562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 3460 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 116862161562432 in words is "one hundred sixteen trillion, eight hundred sixty-two billion, one hundred sixty-one million, five hundred sixty-two thousand, four hundred thirty-two".