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6900488820 = 223459743913
BaseRepresentation
bin1100110110100110…
…10001101001110100
3122210220111011010000
412123103101221310
5103113011120240
63100421231300
7333000121131
oct63323215164
918726434100
106900488820
112a21167425
121406b62530
1385c803aa4
14496655588
152a5c0e430
hex19b4d1a74

6900488820 has 120 divisors (see below), whose sum is σ = 21870752904. Its totient is φ = 1821118464.

The previous prime is 6900488813. The next prime is 6900488851. The reversal of 6900488820 is 288840096.

It is a happy number.

6900488820 is a `hidden beast` number, since 6 + 90 + 0 + 488 + 82 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1242139536 + 5658349284 = 35244^2 + 75222^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 135184 + ... + 179096.

Almost surely, 26900488820 is an apocalyptic number.

6900488820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6900488820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10935376452).

6900488820 is an abundant number, since it is smaller than the sum of its proper divisors (14970264084).

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

6900488820 is a wasteful number, since it uses less digits than its factorization.

6900488820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44031 (or 44020 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6900488820 is about 83069.1809277063. The cubic root of 6900488820 is about 1903.8232176597.

The spelling of 6900488820 in words is "six billion, nine hundred million, four hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 97 108 135 162 180 194 270 291 324 388 405 485 540 582 810 873 970 1164 1455 1620 1746 1940 2619 2910 3492 4365 5238 5820 7857 8730 10476 13095 15714 17460 26190 31428 39285 43913 52380 78570 87826 131739 157140 175652 219565 263478 395217 439130 526956 658695 790434 878260 1185651 1317390 1580868 1976085 2371302 2634780 3556953 3952170 4259561 4742604 5928255 7113906 7904340 8519122 11856510 12778683 14227812 17038244 17784765 21297805 23713020 25557366 35569530 38336049 42595610 51114732 63893415 71139060 76672098 85191220 115008147 127786830 153344196 191680245 230016294 255573660 345024441 383360490 460032588 575040735 690048882 766720980 1150081470 1380097764 1725122205 2300162940 3450244410 6900488820