Search a number
-
+
38156947668 = 22377432337
BaseRepresentation
bin100011100010010101…
…001101000011010100
310122111020000210000000
4203202111031003110
51111121134311133
625310135451300
72520364463250
oct434225150324
9118436023000
1038156947668
11152006695a4
12748a826b30
1337a129a558
141bbd8c9260
15ed4cc7413
hex8e254d0d4

38156947668 has 288 divisors, whose sum is σ = 117524709120. Its totient is φ = 10616852736.

The previous prime is 38156947651. The next prime is 38156947669. The reversal of 38156947668 is 86674965183.

38156947668 is a `hidden beast` number, since 3 + 8 + 1 + 569 + 4 + 7 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38156947669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113225196 + ... + 113225532.

Almost surely, 238156947668 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 38156947668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58762354560).

38156947668 is an abundant number, since it is smaller than the sum of its proper divisors (79367761452).

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

38156947668 is an equidigital number, since it uses as much as digits as its factorization.

38156947668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 392 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 38156947668 in words is "thirty-eight billion, one hundred fifty-six million, nine hundred forty-seven thousand, six hundred sixty-eight".