Search a number
-
+
52144931056599 = 33731311513134273
BaseRepresentation
bin10111101101100111100000…
…00101111010101111010111
320211122000011220100121212000
423312303300011322233113
523313320304322302344
6302523014533530343
713661230000526613
oct1366636005725727
9224560156317760
1052144931056599
11156845a51908a7
125a22053aa39b3
1323133273192b4
14cc3b8455c343
156066216e7a69
hex2f6cf017abd7

52144931056599 has 128 divisors (see below), whose sum is σ = 79702766499840. Its totient is φ = 33684139008000.

The previous prime is 52144931056591. The next prime is 52144931056601. The reversal of 52144931056599 is 99565013944125.

52144931056599 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 4 + 9 + 31 + 0 + 5 + 6 + 599 = 666.

It is not a de Polignac number, because 52144931056599 - 23 = 52144931056591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52144931056591) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12203351727 + ... + 12203355999.

It is an arithmetic number, because the mean of its divisors is an integer number (622677863280).

Almost surely, 252144931056599 is an apocalyptic number.

52144931056599 is a deficient number, since it is larger than the sum of its proper divisors (27557835443241).

52144931056599 is a wasteful number, since it uses less digits than its factorization.

52144931056599 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 52144931056599 in words is "fifty-two trillion, one hundred forty-four billion, nine hundred thirty-one million, fifty-six thousand, five hundred ninety-nine".

Divisors: 1 3 9 27 73 131 151 219 313 393 453 657 939 1179 1359 1971 2817 3537 4077 4273 8451 9563 11023 12819 19781 22849 28689 33069 38457 41003 47263 59343 68547 86067 99207 115371 123009 141789 178029 205641 258201 297621 311929 369027 425367 534087 559763 616923 645223 935787 1107081 1276101 1337449 1444013 1679289 1935669 2807361 2993219 3450199 4012347 4332039 5037867 5807007 6191453 8422083 8979657 10350597 12037041 12996117 15113601 17421021 18574359 26938971 31051791 36111123 38988351 40862699 47101279 55723077 80816913 84524213 93155373 97633777 122588097 141303837 167169231 175205819 201954799 253572639 292901331 367764291 423911511 451976069 525617457 605864397 760717917 878703993 1103292873 1271734533 1355928207 1576852371 1817593191 2282153751 2636111979 4067784621 4730557113 5452779573 6170267549 12203353863 12790024787 14742700327 18510802647 26456078669 38370074361 44228100981 55532407941 79368236007 115110223083 132684302943 166597223823 238104708021 345330669249 398052908829 714314124063 1931293742837 5793881228511 17381643685533 52144931056599