Search a number
-
+
6977759940 = 2232538765333
BaseRepresentation
bin1100111111110100…
…00010101011000100
3200000021212221011100
412133322002223010
5103242301304230
63112221340100
7334625660304
oct63772025304
920007787140
106977759940
112a60844358
121428a07630
1387281a048
144a2a0b604
152ac8c4660
hex19fe82ac4

6977759940 has 36 divisors (see below), whose sum is σ = 21165872364. Its totient is φ = 1860735936.

The previous prime is 6977759923. The next prime is 6977759983. The reversal of 6977759940 is 499577796.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 1710484164 = 72576^2 + 41358^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19382487 + ... + 19382846.

It is an arithmetic number, because the mean of its divisors is an integer number (587940899).

Almost surely, 26977759940 is an apocalyptic number.

6977759940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6977759940 is an abundant number, since it is smaller than the sum of its proper divisors (14188112424).

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

6977759940 is a wasteful number, since it uses less digits than its factorization.

6977759940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38765348 (or 38765343 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The square root of 6977759940 is about 83532.9871368192. The cubic root of 6977759940 is about 1910.9031427768.

The spelling of 6977759940 in words is "six billion, nine hundred seventy-seven million, seven hundred fifty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 38765333 77530666 116295999 155061332 193826665 232591998 348887997 387653330 465183996 581479995 697775994 775306660 1162959990 1395551988 1744439985 2325919980 3488879970 6977759940