Search a number
-
+
38694653946 = 232131937713313
BaseRepresentation
bin100100000010011000…
…011000111111111010
310200212200211002100100
4210002120120333322
51113221312411241
625435344420230
72536614063114
oct440230307772
9120780732310
1038694653946
111545713a253
1275ba917676
1338587c5150
141c310983b4
1510170dc9b6
hex902618ffa

38694653946 has 192 divisors, whose sum is σ = 99012775680. Its totient is φ = 10816727040.

The previous prime is 38694653897. The next prime is 38694653947. The reversal of 38694653946 is 64935649683.

It is a happy number.

38694653946 is a `hidden beast` number, since 3 + 8 + 6 + 94 + 6 + 539 + 4 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (38694653947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11677986 + ... + 11681298.

It is an arithmetic number, because the mean of its divisors is an integer number (515691540).

Almost surely, 238694653946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38694653946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49506387840).

38694653946 is an abundant number, since it is smaller than the sum of its proper divisors (60318121734).

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

38694653946 is a wasteful number, since it uses less digits than its factorization.

38694653946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3458 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 38694653946 in words is "thirty-eight billion, six hundred ninety-four million, six hundred fifty-three thousand, nine hundred forty-six".