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81344111616 = 210328826401
BaseRepresentation
bin100101111000001111…
…1001010010000000000
321202222000022000111200
41023300133022100000
52313043043032431
6101211410341200
75606532353235
oct1136037122000
9252860260450
1081344111616
11315526a3029
1213921b8a800
137894745c31
143d1949d78c
1521b14c3ee6
hex12f07ca400

81344111616 has 66 divisors (see below), whose sum is σ = 234879383622. Its totient is φ = 27114700800.

The previous prime is 81344111603. The next prime is 81344111657. The reversal of 81344111616 is 61611144318.

81344111616 is a `hidden beast` number, since 8 + 1 + 34 + 4 + 1 + 1 + 1 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76229001216 + 5115110400 = 276096^2 + 71520^2 .

It is a super-2 number, since 2×813441116162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4403985 + ... + 4422416.

Almost surely, 281344111616 is an apocalyptic number.

It is an amenable number.

81344111616 is an abundant number, since it is smaller than the sum of its proper divisors (153535272006).

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

81344111616 is a wasteful number, since it uses less digits than its factorization.

81344111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8826427 (or 8826406 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 81344111616 in words is "eighty-one billion, three hundred forty-four million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 8826401 17652802 26479203 35305604 52958406 70611208 79437609 105916812 141222416 158875218 211833624 282444832 317750436 423667248 564889664 635500872 847334496 1129779328 1271001744 1694668992 2259558656 2542003488 3389337984 4519117312 5084006976 6778675968 9038234624 10168013952 13557351936 20336027904 27114703872 40672055808 81344111616