Search a number
-
+
80081912687616 = 210347534196211
BaseRepresentation
bin10010001101010110000101…
…111101010110110000000000
3101111112202102012000200210000
4102031112011331112300000
540444030224122000431
6442153042305440000
722603504310353560
oct2215260575266000
9344482365020700
1080081912687616
1123575603a87794
128b944b2640000
13358b8cc320848
1415abdb177ada0
1593d1aacbe9e6
hex48d585f56c00

80081912687616 has 880 divisors, whose sum is σ = 279169325487360. Its totient is φ = 22391655137280.

The previous prime is 80081912687599. The next prime is 80081912687671. The reversal of 80081912687616 is 61678621918008.

80081912687616 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 1 + 9 + 1 + 2 + 6 + 8 + 7 + 616 = 666.

It is a super-2 number, since 2×800819126876162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12893558751 + ... + 12893564961.

It is an arithmetic number, because the mean of its divisors is an integer number (317237869872).

Almost surely, 280081912687616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80081912687616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139584662743680).

80081912687616 is an abundant number, since it is smaller than the sum of its proper divisors (199087412799744).

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

80081912687616 is a wasteful number, since it uses less digits than its factorization.

80081912687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 80081912687616 in words is "eighty trillion, eighty-one billion, nine hundred twelve million, six hundred eighty-seven thousand, six hundred sixteen".