Search a number
-
+
38234446960 = 2451074466641
BaseRepresentation
bin100011100110111100…
…110101110001110000
310122200121212011001011
4203212330311301300
51111301004300320
625321544520304
72522325302563
oct434674656160
9118617764034
1038234446960
11152403919a6
1274b0780094
1337b4363618
141bc9d004da
15edb9d505a
hex8e6f35c70

38234446960 has 40 divisors (see below), whose sum is σ = 89725904496. Its totient is φ = 15150842880.

The previous prime is 38234446897. The next prime is 38234446963. The reversal of 38234446960 is 6964443283.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38234446963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2224761 + ... + 2241880.

Almost surely, 238234446960 is an apocalyptic number.

It is an amenable number.

38234446960 is an abundant number, since it is smaller than the sum of its proper divisors (51491457536).

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

38234446960 is a wasteful number, since it uses less digits than its factorization.

38234446960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4466761 (or 4466755 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

The spelling of 38234446960 in words is "thirty-eight billion, two hundred thirty-four million, four hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 4466641 8933282 17866564 22333205 35733128 44666410 71466256 89332820 178665640 357331280 477930587 955861174 1911722348 2389652935 3823444696 4779305870 7646889392 9558611740 19117223480 38234446960