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1873668672 = 2634361433
BaseRepresentation
bin110111110101101…
…1110101001000000
311211120122020020000
41233223132221000
512314124344142
6505531120000
764300630611
oct15753365100
94746566200
101873668672
11881701007
124435a3000
1323b2446b5
1413abb1c08
15ae75b14c
hex6fadea40

1873668672 has 70 divisors (see below), whose sum is σ = 5554156278. Its totient is φ = 624554496.

The previous prime is 1873668623. The next prime is 1873668683. The reversal of 1873668672 is 2768663781.

It can be written as a sum of positive squares in only one way, i.e., 1672482816 + 201185856 = 40896^2 + 14184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 9 ways as a sum of consecutive naturals, for example, 175533 + ... + 185900.

Almost surely, 21873668672 is an apocalyptic number.

1873668672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1873668672 is an abundant number, since it is smaller than the sum of its proper divisors (3680487606).

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

1873668672 is an equidigital number, since it uses as much as digits as its factorization.

1873668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361457 (or 361438 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 1873668672 is about 43285.8946078281. The cubic root of 1873668672 is about 1232.8141158677.

The spelling of 1873668672 in words is "one billion, eight hundred seventy-three million, six hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 361433 722866 1084299 1445732 2168598 2891464 3252897 4337196 5782928 6505794 8674392 9758691 11565856 13011588 17348784 19517382 23131712 26023176 29276073 34697568 39034764 52046352 58552146 69395136 78069528 104092704 117104292 156139056 208185408 234208584 312278112 468417168 624556224 936834336 1873668672