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16981948679056 = 24612168892
BaseRepresentation
bin1111011100011110101100…
…0001001100001110010000
32020010110101012110010002021
43313013223001030032100
54211213012330212211
6100041222144101224
73401622343043614
oct367075301141620
966113335403067
1016981948679056
1154580053467a9
121aa3270304814
13962510a24b4a
14429d05bb9344
151e6b159ec771
hexf71eb04c390

16981948679056 has 45 divisors (see below), whose sum is σ = 33452734359603. Its totient is φ = 8351283528960.

The previous prime is 16981948679009. The next prime is 16981948679057. The reversal of 16981948679056 is 65097684918961.

The square root of 16981948679056 is 4120916.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14800301517456 + 2181647161600 = 3847116^2 + 1477040^2 .

It is a super-2 number, since 2×169819486790562 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16981948679057) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1005495060 + ... + 1005511948.

Almost surely, 216981948679056 is an apocalyptic number.

16981948679056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16981948679056 is the 4120916-th square number.

It is an amenable number.

16981948679056 is a deficient number, since it is larger than the sum of its proper divisors (16470785680547).

16981948679056 is an frugal number, since it uses more digits than its factorization.

16981948679056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33908 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 79.

The spelling of 16981948679056 in words is "sixteen trillion, nine hundred eighty-one billion, nine hundred forty-eight million, six hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 3721 7442 14884 16889 29768 33778 59536 67556 135112 270224 1030229 2060458 4120916 8241832 16483664 62843969 125687938 251375876 285238321 502751752 570476642 1005503504 1140953284 2281906568 4563813136 17399537581 34799075162 69598150324 139196300648 278392601296 1061371792441 2122743584882 4245487169764 8490974339528 16981948679056