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2949769984 = 2877322549
BaseRepresentation
bin1010111111010001…
…1110101100000000
321121120111211201011
42233310132230000
522020120114414
61204411450304
7133045426330
oct25764365400
97546454634
102949769984
111284082937
126a3a56994
13380178535
141dda8d0c0
15123e70dc4
hexafd1eb00

2949769984 has 72 divisors (see below), whose sum is σ = 6821645600. Its totient is φ = 1246814208.

The previous prime is 2949769957. The next prime is 2949769993. The reversal of 2949769984 is 4899679492.

2949769984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29497699842 = 17402285917014720512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119542 + ... + 142090.

Almost surely, 22949769984 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 2949769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410822800).

2949769984 is an abundant number, since it is smaller than the sum of its proper divisors (3871875616).

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

2949769984 is an equidigital number, since it uses as much as digits as its factorization.

2949769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22645 (or 22631 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 67.

The square root of 2949769984 is about 54311.7849458108. The cubic root of 2949769984 is about 1434.1548656653.

The spelling of 2949769984 in words is "two billion, nine hundred forty-nine million, seven hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1168 1792 2044 2336 4088 4672 8176 9344 16352 18688 22549 32704 45098 65408 90196 130816 157843 180392 315686 360784 631372 721568 1262744 1443136 1646077 2525488 2886272 3292154 5050976 5772544 6584308 10101952 11522539 13168616 20203904 23045078 26337232 40407808 46090156 52674464 92180312 105348928 184360624 210697856 368721248 421395712 737442496 1474884992 2949769984