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6992773120 = 214585361
BaseRepresentation
bin1101000001100110…
…10100000000000000
3200001100010200101001
412200303110000000
5103310122214440
63113515221344
7335200406434
oct64063240000
920040120331
106992773120
112a69268a43
121431a47854
13875975698
144a49d89c4
152add8cb9a
hex1a0cd4000

6992773120 has 60 divisors (see below), whose sum is σ = 16782339924. Its totient is φ = 2797076480.

The previous prime is 6992773093. The next prime is 6992773127. The reversal of 6992773120 is 213772996.

It can be written as a sum of positive squares in 2 ways, for example, as 3806396416 + 3186376704 = 61696^2 + 56448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6992773127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39240 + ... + 124600.

Almost surely, 26992773120 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 6992773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391169962).

6992773120 is an abundant number, since it is smaller than the sum of its proper divisors (9789566804).

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

6992773120 is an frugal number, since it uses more digits than its factorization.

6992773120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85394 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 6992773120 is about 83622.8026318181. The cubic root of 6992773120 is about 1912.2726454215.

The spelling of 6992773120 in words is "six billion, nine hundred ninety-two million, seven hundred seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 20480 40960 81920 85361 170722 341444 426805 682888 853610 1365776 1707220 2731552 3414440 5463104 6828880 10926208 13657760 21852416 27315520 43704832 54631040 87409664 109262080 174819328 218524160 349638656 437048320 699277312 874096640 1398554624 1748193280 3496386560 6992773120