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2949665664 = 27311698311
BaseRepresentation
bin1010111111010000…
…0101001110000000
321121120022112121110
42233310011032000
522020103300124
61204405323320
7133044513231
oct25764051600
97546275543
102949665664
111284011520
126a3a06540
1338013cbca
141dda63088
15123e50029
hexafd05380

2949665664 has 64 divisors (see below), whose sum is σ = 8547338880. Its totient is φ = 893836800.

The previous prime is 2949665639. The next prime is 2949665731. The reversal of 2949665664 is 4665669492.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 344932 + ... + 353379.

It is an arithmetic number, because the mean of its divisors is an integer number (133552170).

Almost surely, 22949665664 is an apocalyptic number.

2949665664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2949665664 is an abundant number, since it is smaller than the sum of its proper divisors (5597673216).

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

2949665664 is a wasteful number, since it uses less digits than its factorization.

2949665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698339 (or 698327 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 57.

The square root of 2949665664 is about 54310.8245564363. The cubic root of 2949665664 is about 1434.1379589460.

The spelling of 2949665664 in words is "two billion, nine hundred forty-nine million, six hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 698311 1396622 2094933 2793244 4189866 5586488 7681421 8379732 11172976 15362842 16759464 22345952 23044263 30725684 33518928 44691904 46088526 61451368 67037856 89383808 92177052 122902736 134075712 184354104 245805472 268151424 368708208 491610944 737416416 983221888 1474832832 2949665664