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38660216418 = 23237431134683
BaseRepresentation
bin100100000000010101…
…000001011001100010
310200210022000110221100
4210000111001121202
51113134003411133
625432114335230
72536015263135
oct440025013142
9120708013840
1038660216418
111543975888a
1275ab28a516
133851628405
141c2a69221c
151014088e13
hex900541662

38660216418 has 48 divisors (see below), whose sum is σ = 86227929216. Its totient is φ = 12509264160.

The previous prime is 38660216401. The next prime is 38660216423. The reversal of 38660216418 is 81461206683.

38660216418 is a `hidden beast` number, since 38 + 6 + 602 + 1 + 6 + 4 + 1 + 8 = 666.

It is a super-2 number, since 2×386602164182 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219705 + ... + 354387.

It is an arithmetic number, because the mean of its divisors is an integer number (1796415192).

Almost surely, 238660216418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38660216418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43113964608).

38660216418 is an abundant number, since it is smaller than the sum of its proper divisors (47567712798).

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

38660216418 is a wasteful number, since it uses less digits than its factorization.

38660216418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135159 (or 135156 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38660216418 in words is "thirty-eight billion, six hundred sixty million, two hundred sixteen thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 431 666 862 1293 2586 3879 7758 15947 31894 47841 95682 134683 143523 269366 287046 404049 808098 1212147 2424294 4983271 9966542 14949813 29899626 44849439 58048373 89698878 116096746 174145119 348290238 522435357 1044870714 2147789801 4295579602 6443369403 12886738806 19330108209 38660216418