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16977440660 = 22517310916061
BaseRepresentation
bin11111100111110111…
…10010111110010100
31121211012001100022112
433303323302332110
5234232211100120
611444353250152
71140500602355
oct176373627624
947735040275
1016977440660
1172223604a4
123359863958
1317a742509b
14b70ac9d2c
1569571cbc5
hex3f3ef2f94

16977440660 has 48 divisors (see below), whose sum is σ = 37764331920. Its totient is φ = 6389053440.

The previous prime is 16977440659. The next prime is 16977440707. The reversal of 16977440660 is 6604477961.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3094474384 + 13882966276 = 55628^2 + 117826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16977440599 and 16977440608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049030 + ... + 1065090.

It is an arithmetic number, because the mean of its divisors is an integer number (786756915).

Almost surely, 216977440660 is an apocalyptic number.

16977440660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16977440660 is an abundant number, since it is smaller than the sum of its proper divisors (20786891260).

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

16977440660 is a wasteful number, since it uses less digits than its factorization.

16977440660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19196 (or 19194 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The spelling of 16977440660 in words is "sixteen billion, nine hundred seventy-seven million, four hundred forty thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3109 6218 12436 15545 16061 31090 32122 52853 62180 64244 80305 105706 160610 211412 264265 273037 321220 528530 546074 1057060 1092148 1365185 2730370 5460740 49933649 99867298 199734596 249668245 499336490 848872033 998672980 1697744066 3395488132 4244360165 8488720330 16977440660