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38690231040 = 283353779383
BaseRepresentation
bin100100000010000111…
…100001001100000000
310200212101111101021000
4210002013201030000
51113214144343130
625435105532000
72536531352256
oct440207411400
9120771441230
1038690231040
111545469925a
1275b9344000
133857906c46
141c306665d6
151016a17260
hex9021e1300

38690231040 has 576 divisors, whose sum is σ = 143165030400. Its totient is φ = 9885597696.

The previous prime is 38690231029. The next prime is 38690231059. The reversal of 38690231040 is 4013209683.

38690231040 is a `hidden beast` number, since 386 + 9 + 0 + 231 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38690230986 and 38690231004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101018689 + ... + 101019071.

It is an arithmetic number, because the mean of its divisors is an integer number (248550400).

Almost surely, 238690231040 is an apocalyptic number.

38690231040 is a gapful number since it is divisible by the number (30) 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 38690231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71582515200).

38690231040 is an abundant number, since it is smaller than the sum of its proper divisors (104474799360).

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

38690231040 is a wasteful number, since it uses less digits than its factorization.

38690231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38690231040 in words is "thirty-eight billion, six hundred ninety million, two hundred thirty-one thousand, forty".