Search a number
-
+
1016086016 = 2911180413
BaseRepresentation
bin111100100100000…
…011111000000000
32121210221111222102
4330210003320000
54040104223031
6244454125532
734115405621
oct7444037000
92553844872
101016086016
11481610510
122443508a8
1313267cc3a
1498d37a48
155e30c7cb
hex3c903e00

1016086016 has 40 divisors (see below), whose sum is σ = 2214762264. Its totient is φ = 461854720.

The previous prime is 1016086013. The next prime is 1016086063. The reversal of 1016086016 is 6106806101.

It is a self number, because there is not a number n which added to its sum of digits gives 1016086016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016086013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 84575 + ... + 95838.

Almost surely, 21016086016 is an apocalyptic number.

1016086016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1016086016 is an abundant number, since it is smaller than the sum of its proper divisors (1198676248).

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

1016086016 is an equidigital number, since it uses as much as digits as its factorization.

1016086016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180442 (or 180426 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 1016086016 is about 31876.1041534250. The cubic root of 1016086016 is about 1005.3335084481. Note that the first 3 decimals are identical.

The spelling of 1016086016 in words is "one billion, sixteen million, eighty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 180413 360826 721652 1443304 1984543 2886608 3969086 5773216 7938172 11546432 15876344 23092864 31752688 46185728 63505376 92371456 127010752 254021504 508043008 1016086016