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2966139216 = 24337439241
BaseRepresentation
bin1011000011001011…
…1011000101010000
321122201022111002000
42300302323011100
522033312423331
61210154354000
7133334524125
oct26062730520
97581274060
102966139216
111292343327
126a942b900
1338368a181
14201d1074c
151256060e6
hexb0cbb150

2966139216 has 80 divisors (see below), whose sum is σ = 8526299520. Its totient is φ = 987275520.

The previous prime is 2966139193. The next prime is 2966139233. The reversal of 2966139216 is 6129316692.

2966139216 is a `hidden beast` number, since 2 + 9 + 6 + 613 + 9 + 21 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 316356 + ... + 325596.

It is an arithmetic number, because the mean of its divisors is an integer number (106578744).

Almost surely, 22966139216 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 2966139216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263149760).

2966139216 is an abundant number, since it is smaller than the sum of its proper divisors (5560160304).

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

2966139216 is a wasteful number, since it uses less digits than its factorization.

2966139216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9989 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2966139216 is about 54462.2733275063. The cubic root of 2966139216 is about 1436.8028373026.

The spelling of 2966139216 in words is "two billion, nine hundred sixty-six million, one hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 743 1486 2229 2972 4458 5944 6687 8916 9241 11888 13374 17832 18482 20061 26748 27723 35664 36964 40122 53496 55446 73928 80244 83169 106992 110892 147856 160488 166338 221784 249507 320976 332676 443568 499014 665352 998028 1330704 1996056 3992112 6866063 13732126 20598189 27464252 41196378 54928504 61794567 82392756 109857008 123589134 164785512 185383701 247178268 329571024 370767402 494356536 741534804 988713072 1483069608 2966139216