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1001666472 = 233195713847
BaseRepresentation
bin111011101101000…
…011011110101000
32120210210221002020
4323231003132220
54022411311342
6243221104440
733552011262
oct7355033650
92523727066
101001666472
11474461934
1223b558120
1312c6a1871
1497062b32
155ce100ec
hex3bb437a8

1001666472 has 64 divisors (see below), whose sum is σ = 2641267200. Its totient is φ = 315679680.

The previous prime is 1001666461. The next prime is 1001666473. The reversal of 1001666472 is 2746661001.

It is a super-2 number, since 2×10016664722 = 2006671442257853568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001666473) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 258453 + ... + 262299.

It is an arithmetic number, because the mean of its divisors is an integer number (41269800).

Almost surely, 21001666472 is an apocalyptic number.

1001666472 is a gapful number since it is divisible by the number (12) 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 1001666472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320633600).

1001666472 is an abundant number, since it is smaller than the sum of its proper divisors (1639600728).

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

1001666472 is a wasteful number, since it uses less digits than its factorization.

1001666472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446 (or 4442 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1001666472 is about 31649.1148691397. The cubic root of 1001666472 is about 1000.5551823821. Note that the first 3 decimals are identical.

The spelling of 1001666472 in words is "one billion, one million, six hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 571 1142 1713 2284 3426 3847 4568 6852 7694 10849 11541 13704 15388 21698 23082 30776 32547 43396 46164 65094 73093 86792 92328 130188 146186 219279 260376 292372 438558 584744 877116 1754232 2196637 4393274 6589911 8786548 13179822 17573096 26359644 41736103 52719288 83472206 125208309 166944412 250416618 333888824 500833236 1001666472