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80016606884160 = 26325177012331421
BaseRepresentation
bin10010001100011001010001…
…011011011111000101000000
3101111022111211220122010222200
4102030121101123133011000
540441443002330243120
6442103042143433200
722566003053241252
oct2214312133370500
9344274756563880
1080016606884160
112354a941614aa1
128b839078b5800
1335856c25845ab
1415a8b78381cd2
1593b63785be90
hex48c6516df140

80016606884160 has 336 divisors, whose sum is σ = 291829258171152. Its totient is φ = 20053942272000.

The previous prime is 80016606884117. The next prime is 80016606884197. The reversal of 80016606884160 is 6148860661008.

80016606884160 is a `hidden beast` number, since 8 + 0 + 0 + 16 + 606 + 8 + 8 + 4 + 16 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23903633664 + 79992703250496 = 154608^2 + 8943864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 80016606884097 and 80016606884106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33155250 + ... + 35486670.

Almost surely, 280016606884160 is an apocalyptic number.

80016606884160 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 80016606884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145914629085576).

80016606884160 is an abundant number, since it is smaller than the sum of its proper divisors (211812651286992).

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

80016606884160 is a wasteful number, since it uses less digits than its factorization.

80016606884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332162 (or 2332149 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 80016606884160 in words is "eighty trillion, sixteen billion, six hundred six million, eight hundred eighty-four thousand, one hundred sixty".