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52148467305 = 3351171975099
BaseRepresentation
bin110000100100010010…
…100111011001101001
311222121022112121201000
4300210102213121221
51323300001423210
635542350345213
73524200441554
oct604422473151
9158538477630
1052148467305
11201304a5370
12a1344bb209
134bc0bca45c
142749bd569b
1515532d2ac0
hexc244a7669

52148467305 has 128 divisors (see below), whose sum is σ = 103638528000. Its totient is φ = 24666163200.

The previous prime is 52148467303. The next prime is 52148467309. The reversal of 52148467305 is 50376484125.

It is not a de Polignac number, because 52148467305 - 21 = 52148467303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (52148467303) 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, 10224646 + ... + 10229744.

It is an arithmetic number, because the mean of its divisors is an integer number (809676000).

Almost surely, 252148467305 is an apocalyptic number.

52148467305 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52148467305 is a deficient number, since it is larger than the sum of its proper divisors (51490060695).

52148467305 is a wasteful number, since it uses less digits than its factorization.

52148467305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5292 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 52148467305 in words is "fifty-two billion, one hundred forty-eight million, four hundred sixty-seven thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 71 97 99 135 165 213 291 297 355 485 495 639 781 873 1065 1067 1455 1485 1917 2343 2619 3195 3201 3905 4365 5099 5335 6887 7029 9585 9603 11715 13095 15297 16005 20661 21087 25495 28809 34435 35145 45891 48015 56089 61983 75757 76485 103305 105435 137673 144045 168267 185949 227271 229455 280445 309915 362029 378785 494603 504801 681813 688365 841335 929745 1086087 1136355 1483809 1514403 1810145 2045439 2473015 2524005 3258261 3409065 3982319 4451427 5430435 5440633 7419045 7572015 9774783 10227195 11946957 13354281 16291305 16321899 19911595 22257135 27203165 35116813 35840871 48873915 48965697 59734785 66771405 81609495 105350439 107522613 146897091 175584065 179204355 244828485 316051317 386284943 526752195 537613065 734485455 948153951 1158854829 1580256585 1931424715 3476564487 4740769755 5794274145 10429693461 17382822435 52148467305