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1666749952 = 2973712569
BaseRepresentation
bin110001101011000…
…1001011000000000
311022011021200002201
41203112021120000
511403141444302
6433220122544
756206066210
oct14326113000
94264250081
101666749952
117859229aa
123a6236454
1320740719a
1411b50c240
159b4d6c87
hex63589600

1666749952 has 80 divisors (see below), whose sum is σ = 3909169440. Its totient is φ = 694960128.

The previous prime is 1666749949. The next prime is 1666749991. The reversal of 1666749952 is 2599476661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1666749893 and 1666749902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126324 + ... + 138892.

It is an arithmetic number, because the mean of its divisors is an integer number (48864618).

Almost surely, 21666749952 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 1666749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954584720).

1666749952 is an abundant number, since it is smaller than the sum of its proper divisors (2242419488).

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

1666749952 is an equidigital number, since it uses as much as digits as its factorization.

1666749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12631 (or 12615 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 55.

The square root of 1666749952 is about 40825.8490664922. The cubic root of 1666749952 is about 1185.6508503040.

The spelling of 1666749952 in words is "one billion, six hundred sixty-six million, seven hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 592 896 1036 1184 1792 2072 2368 3584 4144 4736 8288 9472 12569 16576 18944 25138 33152 50276 66304 87983 100552 132608 175966 201104 351932 402208 465053 703864 804416 930106 1407728 1608832 1860212 2815456 3217664 3255371 3720424 5630912 6435328 6510742 7440848 11261824 13021484 14881696 22523648 26042968 29763392 45047296 52085936 59526784 104171872 119053568 208343744 238107136 416687488 833374976 1666749952