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48073086701325 = 32527179170517289
BaseRepresentation
bin10101110111000111000110…
…10000011000111100001101
320022012202001001211112020200
422323203203100120330031
522300112140143420300
6250124245434004113
713061110621551660
oct1273434320307415
9208182031745220
1048073086701325
11143547551a8804
125484a77576639
1320a9370c5614a
14bc2a6d6a56d7
15585758261200
hex2bb8e3418f0d

48073086701325 has 72 divisors (see below), whose sum is σ = 98954593732800. Its totient is φ = 21853495630080.

The previous prime is 48073086701261. The next prime is 48073086701329. The reversal of 48073086701325 is 52310768037084.

It is a happy number.

48073086701325 is a `hidden beast` number, since 4 + 8 + 0 + 7 + 308 + 6 + 7 + 0 + 1 + 325 = 666.

48073086701325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48073086701325 - 26 = 48073086701261 is a prime.

It is a super-3 number, since 3×480730867013253 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48073086701329) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 84976720 + ... + 85540569.

It is an arithmetic number, because the mean of its divisors is an integer number (1374369357400).

Almost surely, 248073086701325 is an apocalyptic number.

48073086701325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48073086701325 is an abundant number, since it is smaller than the sum of its proper divisors (50881507031475).

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

48073086701325 is a wasteful number, since it uses less digits than its factorization.

48073086701325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170517491 (or 170517483 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 48073086701325 in words is "forty-eight trillion, seventy-three billion, eighty-six million, seven hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 179 225 315 525 537 895 1253 1575 1611 2685 3759 4475 6265 8055 11277 13425 18795 31325 40275 56385 93975 281925 170517289 511551867 852586445 1193621023 1534655601 2557759335 3580863069 4262932225 5968105115 7673278005 10742589207 12788796675 17904315345 29840525575 30522594731 38366390025 53712946035 89521576725 91567784193 152612973655 213658163117 268564730175 274703352579 457838920965 640974489351 763064868275 1068290815585 1373516762895 1922923468053 2289194604825 3204872446755 5341454077925 6867583814475 9614617340265 16024362233775 48073086701325