Search a number
-
+
39080825255248 = 2472129738433301
BaseRepresentation
bin10001110001011001101101…
…01101001111010101010000
312010101002102220110222012121
420320230312231033111100
520110300012231131443
6215041252215304024
711142332165450200
oct1070546655172520
9163332386428177
1039080825255248
11114a80a3026797
12447216137b014
1318a63c93ba05a
1499174466c400
1547b8ae1394ed
hex238b36b4f550

39080825255248 has 60 divisors (see below), whose sum is σ = 88149314734932. Its totient is φ = 16736011084800.

The previous prime is 39080825255233. The next prime is 39080825255293. The reversal of 39080825255248 is 84255252808093.

39080825255248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26774705127184 + 12306120128064 = 5174428^2 + 3508008^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18199803 + ... + 20233498.

Almost surely, 239080825255248 is an apocalyptic number.

It is an amenable number.

39080825255248 is an abundant number, since it is smaller than the sum of its proper divisors (49068489479684).

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

39080825255248 is a wasteful number, since it uses less digits than its factorization.

39080825255248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38434620 (or 38434607 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 61.

The spelling of 39080825255248 in words is "thirty-nine trillion, eighty billion, eight hundred twenty-five million, two hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1297 2594 5188 9079 10376 18158 20752 36316 63553 72632 127106 145264 254212 508424 1016848 38433301 76866602 153733204 269033107 307466408 538066214 614932816 1076132428 1883231749 2152264856 3766463498 4304529712 7532926996 15065853992 30131707984 49847991397 99695982794 199391965588 348935939779 398783931176 697871879558 797567862352 1395743759116 2442551578453 2791487518232 4885103156906 5582975036464 9770206313812 19540412627624 39080825255248