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168677291952 = 2432131916372897
BaseRepresentation
bin1001110100010111110…
…0110011011110110000
3121010101102002020210100
42131011330303132300
510230422341320302
6205253403432400
715120660216321
oct2350574633660
9533342066710
10168677291952
1165598a30024
1228835825700
1312ba1bcb1c0
148242124448
1545c3671d1c
hex2745f337b0

168677291952 has 240 divisors, whose sum is σ = 535642904160. Its totient is φ = 49122091008.

The previous prime is 168677291929. The next prime is 168677291957. The reversal of 168677291952 is 259192776861.

It is a self number, because there is not a number n which added to its sum of digits gives 168677291952.

It is not an unprimeable number, because it can be changed into a prime (168677291957) 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, 58223368 + ... + 58226264.

It is an arithmetic number, because the mean of its divisors is an integer number (2231845434).

Almost surely, 2168677291952 is an apocalyptic number.

168677291952 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 168677291952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267821452080).

168677291952 is an abundant number, since it is smaller than the sum of its proper divisors (366965612208).

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

168677291952 is a wasteful number, since it uses less digits than its factorization.

168677291952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4571 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 168677291952 in words is "one hundred sixty-eight billion, six hundred seventy-seven million, two hundred ninety-one thousand, nine hundred fifty-two".