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73680259848 = 23313432754577
BaseRepresentation
bin100010010011110101…
…1111000101100001000
321001011220102000021220
41010213223320230020
52201344121303343
653503115402040
75215602606126
oct1044753705410
9231156360256
1073680259848
112927a649838
1212343453320
136c42a491c0
1437cd6d8916
151db3778183
hex1127af8b08

73680259848 has 64 divisors (see below), whose sum is σ = 198419410560. Its totient is φ = 22665194496.

The previous prime is 73680259769. The next prime is 73680259853. The reversal of 73680259848 is 84895208637.

It is a junction number, because it is equal to n+sod(n) for n = 73680259791 and 73680259800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1322736 + ... + 1377312.

It is an arithmetic number, because the mean of its divisors is an integer number (3100303290).

Almost surely, 273680259848 is an apocalyptic number.

73680259848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

73680259848 is an abundant number, since it is smaller than the sum of its proper divisors (124739150712).

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

73680259848 is a wasteful number, since it uses less digits than its factorization.

73680259848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58926 (or 58922 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 73680259848 in words is "seventy-three billion, six hundred eighty million, two hundred fifty-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 4327 8654 12981 17308 25962 34616 51924 54577 56251 103848 109154 112502 163731 168753 218308 225004 327462 337506 436616 450008 654924 675012 709501 1309848 1350024 1419002 2128503 2838004 4257006 5676008 8514012 17028024 236154679 472309358 708464037 944618716 1416928074 1889237432 2833856148 3070010827 5667712296 6140021654 9210032481 12280043308 18420064962 24560086616 36840129924 73680259848