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116612011664676 = 223411463157144983
BaseRepresentation
bin11010100000111011011001…
…100010000010010100100100
3120021212222222121000011210000
4122200323121202002110210
5110241032344441232201
61052002452452501300
733363640233404433
oct3240733142022444
9507788877004700
10116612011664676
1134179970574640
12110b423291a830
13500b608978738
1420b20a138b11a
15d7352ccded86
hex6a0ed9882524

116612011664676 has 240 divisors, whose sum is σ = 333498011793408. Its totient is φ = 35237423390400.

The previous prime is 116612011664671. The next prime is 116612011664677. The reversal of 116612011664676 is 676466110216611.

116612011664676 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 12 + 0 + 1 + 166 + 467 + 6 = 666.

It is a super-2 number, since 2×1166120116646762 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (116612011664671) 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 79 ways as a sum of consecutive naturals, for example, 2592334881 + ... + 2592379863.

Almost surely, 2116612011664676 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 116612011664676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166749005896704).

116612011664676 is an abundant number, since it is smaller than the sum of its proper divisors (216886000128732).

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

116612011664676 is a wasteful number, since it uses less digits than its factorization.

116612011664676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47044 (or 47033 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 116612011664676 in words is "one hundred sixteen trillion, six hundred twelve billion, eleven million, six hundred sixty-four thousand, six hundred seventy-six".