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334116453636 = 223372341468667
BaseRepresentation
bin1001101110010101110…
…01000111110100000100
31011221102011001102221000
410313022321013310010
520433232303004021
6413254015053300
733065500665630
oct4671271076404
91157364042830
10334116453636
11119775033929
1254906b11230
1325678c9a094
1412258175dc0
158a578b2b26
hex4dcae47d04

334116453636 has 192 divisors, whose sum is σ = 1058214850560. Its totient is φ = 89084033280.

The previous prime is 334116453623. The next prime is 334116453641. The reversal of 334116453636 is 636354611433.

It is a happy number.

334116453636 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 1 + 6 + 4 + 5 + 3 + 636 = 666.

It is a super-2 number, since 2×3341164536362 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334116453591 and 334116453600.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 478575 + ... + 947241.

It is an arithmetic number, because the mean of its divisors is an integer number (5511535680).

Almost surely, 2334116453636 is an apocalyptic number.

334116453636 is a gapful number since it is divisible by the number (36) 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 334116453636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529107425280).

334116453636 is an abundant number, since it is smaller than the sum of its proper divisors (724098396924).

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

334116453636 is a wasteful number, since it uses less digits than its factorization.

334116453636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468751 (or 468743 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 45.

The spelling of 334116453636 in words is "three hundred thirty-four billion, one hundred sixteen million, four hundred fifty-three thousand, six hundred thirty-six".