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41934503166192 = 24347131813319609
BaseRepresentation
bin10011000100011101000110…
…01010100100000011110000
312111110220021121220222010000
421202032203022210003300
520444023330302304232
6225104240024510000
711555445036460410
oct1142164312440360
9174426247828100
1041934503166192
11123a836089723a
12485323031b300
131a52539629170
14a4d8d8444640
154cac2cb0027c
hex2623a32a40f0

41934503166192 has 400 divisors, whose sum is σ = 149395078866880. Its totient is φ = 11058475290624.

The previous prime is 41934503166181. The next prime is 41934503166223. The reversal of 41934503166192 is 29166130543914.

41934503166192 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 4 + 5 + 0 + 3 + 16 + 619 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2138523684 + ... + 2138543292.

Almost surely, 241934503166192 is an apocalyptic number.

41934503166192 is a gapful number since it is divisible by the number (42) 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 41934503166192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74697539433440).

41934503166192 is an abundant number, since it is smaller than the sum of its proper divisors (107460575700688).

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

41934503166192 is a wasteful number, since it uses less digits than its factorization.

41934503166192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37782 (or 37767 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 41934503166192 in words is "forty-one trillion, nine hundred thirty-four billion, five hundred three million, one hundred sixty-six thousand, one hundred ninety-two".