Search a number
-
+
38479670460 = 223457112511229
BaseRepresentation
bin100011110101100100…
…010010110010111100
310200022201021210110000
4203311210102302330
51112301243423320
625402144514300
72531363542110
oct436544226274
9120281253400
1038479670460
1115356852a50
12755a91b990
1338230c2b9a
141c106d5740
1510032c3c90
hex8f5912cbc

38479670460 has 480 divisors, whose sum is σ = 151220805120. Its totient is φ = 7957440000.

The previous prime is 38479670407. The next prime is 38479670501. The reversal of 38479670460 is 6407697483.

It is a happy number.

38479670460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384796704602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38479670397 and 38479670406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31309126 + ... + 31310354.

It is an arithmetic number, because the mean of its divisors is an integer number (315043344).

Almost surely, 238479670460 is an apocalyptic number.

38479670460 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 38479670460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75610402560).

38479670460 is an abundant number, since it is smaller than the sum of its proper divisors (112741134660).

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

38479670460 is a wasteful number, since it uses less digits than its factorization.

38479670460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 38479670460 in words is "thirty-eight billion, four hundred seventy-nine million, six hundred seventy thousand, four hundred sixty".