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6707084072 = 231327367957
BaseRepresentation
bin1100011111100010…
…11111101100101000
3122022102120011200012
412033301133230220
5102214003142242
63025312031052
7325131162653
oct61761375450
918272504605
106707084072
112931a79597
121372232488
1382b718700
14478aac89a
15293c59282
hex18fc5fb28

6707084072 has 48 divisors (see below), whose sum is σ = 13804308540. Its totient is φ = 3053127168.

The previous prime is 6707084071. The next prime is 6707084077. The reversal of 6707084072 is 2704807076.

It can be written as a sum of positive squares in 6 ways, for example, as 114618436 + 6592465636 = 10706^2 + 81194^2 .

It is a super-2 number, since 2×67070840722 = 89969953497752202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6707084071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64718 + ... + 132674.

Almost surely, 26707084072 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 6707084072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6902154270).

6707084072 is an abundant number, since it is smaller than the sum of its proper divisors (7097224468).

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

6707084072 is a wasteful number, since it uses less digits than its factorization.

6707084072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68062 (or 68045 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 6707084072 is about 81896.7891434090. The cubic root of 6707084072 is about 1885.8678207819.

The spelling of 6707084072 in words is "six billion, seven hundred seven million, eighty-four thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 73 104 146 169 292 338 584 676 949 1352 1898 3796 7592 12337 24674 49348 67957 98696 135914 271828 543656 883441 1766882 3533764 4960861 7067528 9921722 11484733 19843444 22969466 39686888 45938932 64491193 91877864 128982386 257964772 515929544 838385509 1676771018 3353542036 6707084072