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6030065664 = 21532723127
BaseRepresentation
bin1011001110110101…
…11000000000000000
3120120020122002000100
411213122320000000
544322144100124
62434205122400
7302300466240
oct54732700000
916506562010
106030065664
1126148a6647
121203559400
137513948bc
14412bd7b20
152545c61c9
hex1676b8000

6030065664 has 384 divisors, whose sum is σ = 20937646080. Its totient is φ = 1634992128.

The previous prime is 6030065653. The next prime is 6030065689. The reversal of 6030065664 is 4665600306.

6030065664 is a `hidden beast` number, since 60 + 30 + 0 + 6 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47480769 + ... + 47480895.

It is an arithmetic number, because the mean of its divisors is an integer number (54525120).

Almost surely, 26030065664 is an apocalyptic number.

6030065664 is a gapful number since it is divisible by the number (64) 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 6030065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468823040).

6030065664 is an abundant number, since it is smaller than the sum of its proper divisors (14907580416).

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

6030065664 is a wasteful number, since it uses less digits than its factorization.

6030065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6030065664 is about 77653.4974357240. The cubic root of 6030065664 is about 1820.1507003982.

The spelling of 6030065664 in words is "six billion, thirty million, sixty-five thousand, six hundred sixty-four".