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1161681728816 = 24724731526317
BaseRepresentation
bin10000111001111001101…
…000000111010100110000
311010001111121010020201102
4100321321220013110300
5123013111010310231
62245400315023532
7146633361525500
oct20717150072460
94101447106642
101161681728816
11408737061884
12169184a3aba8
1385713a8546b
1440323447a00
1520340b98acb
hex10e79a07530

1161681728816 has 60 divisors (see below), whose sum is σ = 2673936187488. Its totient is φ = 487270740096.

The previous prime is 1161681728783. The next prime is 1161681728843. The reversal of 1161681728816 is 6188271861611.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15726311 + ... + 15800006.

Almost surely, 21161681728816 is an apocalyptic number.

1161681728816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1161681728816 is an abundant number, since it is smaller than the sum of its proper divisors (1512254458672).

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

1161681728816 is a wasteful number, since it uses less digits than its factorization.

1161681728816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31526386 (or 31526373 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 56.

The spelling of 1161681728816 in words is "one trillion, one hundred sixty-one billion, six hundred eighty-one million, seven hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 4606 5264 9212 18424 36848 31526317 63052634 126105268 220684219 252210536 441368438 504421072 882736876 1481736899 1544789533 1765473752 2963473798 3089579066 3530947504 5926947596 6179158132 10372158293 11853895192 12358316264 20744316586 23707790384 24716632528 41488633172 72605108051 82977266344 145210216102 165954532688 290420432204 580840864408 1161681728816