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38674250000 = 2456372113
BaseRepresentation
bin100100000001001010…
…100011100100010000
310200211021102110101122
4210001022203210100
51113201102000000
625433335221412
72536245462311
oct440112434420
9120737373348
1038674250000
1115446673491
1275b3b17868
1338544ccbc9
141c2c4a6608
15101540c085
hex9012a3910

38674250000 has 210 divisors, whose sum is σ = 97114733478. Its totient is φ = 14918400000.

The previous prime is 38674249961. The next prime is 38674250003. The reversal of 38674250000 is 5247683.

It is a happy number.

It can be written as a sum of positive squares in 21 ways, for example, as 23026241536 + 15648008464 = 151744^2 + 125092^2 .

It is a super-2 number, since 2×386742500002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38674250003) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 342249944 + ... + 342250056.

Almost surely, 238674250000 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 38674250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48557366739).

38674250000 is an abundant number, since it is smaller than the sum of its proper divisors (58440483478).

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

38674250000 is an frugal number, since it uses more digits than its factorization.

38674250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

Adding to 38674250000 its reverse (5247683), we get a palindrome (38679497683).

The spelling of 38674250000 in words is "thirty-eight billion, six hundred seventy-four million, two hundred fifty thousand".