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1000666464 = 253719181433
BaseRepresentation
bin111011101001001…
…111010101100000
32120201221010022220
4323221033111200
54022132311324
6243143431040
733540344640
oct7351172540
92521833286
101000666464
11473939586
1223b155480
1312c411645
1496c82520
155ccb3b79
hex3ba4f560

1000666464 has 192 divisors, whose sum is σ = 3184796160. Its totient is φ = 268738560.

The previous prime is 1000666409. The next prime is 1000666477. The reversal of 1000666464 is 4646660001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2310792 + ... + 2311224.

It is an arithmetic number, because the mean of its divisors is an integer number (16587480).

Almost surely, 21000666464 is an apocalyptic number.

1000666464 is a gapful number since it is divisible by the number (14) 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 1000666464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

1000666464 is an abundant number, since it is smaller than the sum of its proper divisors (2184129696).

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

1000666464 is a wasteful number, since it uses less digits than its factorization.

1000666464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1000666464 is about 31633.3125676082. The cubic root of 1000666464 is about 1000.2221053322. Note that the first 3 decimals are identical.

The spelling of 1000666464 in words is "one billion, six hundred sixty-six thousand, four hundred sixty-four".