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80373127680 = 2932517205201
BaseRepresentation
bin100101011011010011…
…1001001101000000000
321200110100012220221200
41022312213021220000
52304101010041210
6100531203021200
75543502212256
oct1126647115000
9250410186850
1080373127680
11310a459846a
12136b096a800
13776b527c21
143c665465d6
1521561250c0
hex12b69c9a00

80373127680 has 240 divisors, whose sum is σ = 294729990984. Its totient is φ = 20171980800.

The previous prime is 80373127631. The next prime is 80373127687. The reversal of 80373127680 is 8672137308.

80373127680 is a `hidden beast` number, since 8 + 0 + 373 + 1 + 276 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80120699136 + 252428544 = 283056^2 + 15888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (80373127687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289080 + ... + 494280.

Almost surely, 280373127680 is an apocalyptic number.

80373127680 is a gapful number since it is divisible by the number (80) 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 80373127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147364995492).

80373127680 is an abundant number, since it is smaller than the sum of its proper divisors (214356863304).

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

80373127680 is a wasteful number, since it uses less digits than its factorization.

80373127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205247 (or 205228 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 80373127680 in words is "eighty billion, three hundred seventy-three million, one hundred twenty-seven thousand, six hundred eighty".