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52148480688 = 24322917097307
BaseRepresentation
bin110000100100010010…
…101010101010110000
311222121022120022001200
4300210102222222300
51323300002340223
635542350531200
73524200525563
oct604422525260
9158538508050
1052148480688
1120130504427
12a134506b00
134bc0c03585
142749bda4da
1515532d6a43
hexc244aaab0

52148480688 has 120 divisors (see below), whose sum is σ = 151084861200. Its totient is φ = 16771302912.

The previous prime is 52148480633. The next prime is 52148480707. The reversal of 52148480688 is 88608484125.

52148480688 is a `hidden beast` number, since 5 + 2 + 1 + 484 + 80 + 6 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7133131 + ... + 7140437.

It is an arithmetic number, because the mean of its divisors is an integer number (1259040510).

Almost surely, 252148480688 is an apocalyptic number.

52148480688 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52148480688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75542430600).

52148480688 is an abundant number, since it is smaller than the sum of its proper divisors (98936380512).

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

52148480688 is a wasteful number, since it uses less digits than its factorization.

52148480688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 52148480688 in words is "fifty-two billion, one hundred forty-eight million, four hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 1709 2088 3418 4176 5127 6836 7307 10254 13672 14614 15381 20508 21921 27344 29228 30762 41016 43842 49561 58456 61524 65763 82032 87684 99122 116912 123048 131526 148683 175368 198244 211903 246096 263052 297366 350736 396488 423806 446049 526104 594732 635709 792976 847612 892098 1052208 1189464 1271418 1695224 1784196 1907127 2378928 2542836 3390448 3568392 3814254 5085672 7136784 7628508 10171344 12487663 15257016 24975326 30514032 37462989 49950652 74925978 99901304 112388967 149851956 199802608 224777934 299703912 362142227 449555868 599407824 724284454 899111736 1086426681 1448568908 1798223472 2172853362 2897137816 3259280043 4345706724 5794275632 6518560086 8691413448 13037120172 17382826896 26074240344 52148480688