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7681305520 = 2457131104707
BaseRepresentation
bin1110010011101011…
…10110101110110000
3201211022201202021001
413021311312232300
5111212403234040
63310113011344
7361231006510
oct71165665660
921738652231
107681305520
113291995589
1215a4553b54
139554cb1c5
1452c229840
152ee54759a
hex1c9d76bb0

7681305520 has 80 divisors (see below), whose sum is σ = 20566326528. Its totient is φ = 2613461760.

The previous prime is 7681305497. The next prime is 7681305557. The reversal of 7681305520 is 255031867.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 7681305520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21007 + ... + 125713.

Almost surely, 27681305520 is an apocalyptic number.

7681305520 is a gapful number since it is divisible by the number (70) 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 7681305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10283163264).

7681305520 is an abundant number, since it is smaller than the sum of its proper divisors (12885021008).

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

7681305520 is a wasteful number, since it uses less digits than its factorization.

7681305520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104858 (or 104852 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 7681305520 is about 87643.0574546552. The cubic root of 7681305520 is about 1973.0814478938.

The spelling of 7681305520 in words is "seven billion, six hundred eighty-one million, three hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 3668 4585 5240 7336 9170 10480 14672 18340 36680 73360 104707 209414 418828 523535 732949 837656 1047070 1465898 1675312 2094140 2931796 3664745 4188280 5863592 7329490 8376560 11727184 13716617 14658980 27433234 29317960 54866468 58635920 68583085 96016319 109732936 137166170 192032638 219465872 274332340 384065276 480081595 548664680 768130552 960163190 1097329360 1536261104 1920326380 3840652760 7681305520