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6672618472 = 2313412576089
BaseRepresentation
bin1100011011011100…
…00001001111101000
3122020000201010202111
412031232001033220
5102131142242342
63022041212104
7324232215112
oct61556011750
918200633674
106672618472
112914579023
121362791034
1382453bc70
1447429a3b2
15290bec217
hex18db813e8

6672618472 has 64 divisors (see below), whose sum is σ = 13858160400. Its totient is φ = 2992373760.

The previous prime is 6672618451. The next prime is 6672618523. The reversal of 6672618472 is 2748162766.

It can be written as a sum of positive squares in 8 ways, for example, as 1493513316 + 5179105156 = 38646^2 + 71966^2 .

It is a super-2 number, since 2×66726184722 = 89047674545751229568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092804 + ... + 1098892.

Almost surely, 26672618472 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 6672618472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929080200).

6672618472 is an abundant number, since it is smaller than the sum of its proper divisors (7185541928).

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

6672618472 is a wasteful number, since it uses less digits than its factorization.

6672618472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6402 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 49.

The square root of 6672618472 is about 81686.0971769370. The cubic root of 6672618472 is about 1882.6319774940.

The spelling of 6672618472 in words is "six billion, six hundred seventy-two million, six hundred eighteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 257 328 514 533 1028 1066 2056 2132 3341 4264 6089 6682 10537 12178 13364 21074 24356 26728 42148 48712 79157 84296 136981 158314 249649 273962 316628 499298 547924 633256 998596 1095848 1564873 1997192 3129746 3245437 6259492 6490874 12518984 12981748 20343349 25963496 40686698 64159793 81373396 128319586 162746792 256639172 513278344 834077309 1668154618 3336309236 6672618472