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2994973824 = 27310617351
BaseRepresentation
bin1011001010000011…
…1010110010000000
321201201120102201110
42302200322302000
522113203130244
61213104403320
7134134600053
oct26240726200
97651512643
102994973824
1112a7648187
126b7016540
1338964487b
14205a98a9a
15127dee9b9
hexb283ac80

2994973824 has 64 divisors (see below), whose sum is σ = 7963980480. Its totient is φ = 997248000.

The previous prime is 2994973823. The next prime is 2994973831. The reversal of 2994973824 is 4283794992.

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

It is not an unprimeable number, because it can be changed into a prime (2994973823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403749 + ... + 411099.

It is an arithmetic number, because the mean of its divisors is an integer number (124437195).

Almost surely, 22994973824 is an apocalyptic number.

2994973824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2994973824 is an abundant number, since it is smaller than the sum of its proper divisors (4969006656).

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

2994973824 is a wasteful number, since it uses less digits than its factorization.

2994973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8429 (or 8417 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 2994973824 is about 54726.3540170547. The cubic root of 2994973824 is about 1441.4436756125.

The spelling of 2994973824 in words is "two billion, nine hundred ninety-four million, nine hundred seventy-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1061 2122 3183 4244 6366 7351 8488 12732 14702 16976 22053 25464 29404 33952 44106 50928 58808 67904 88212 101856 117616 135808 176424 203712 235232 352848 407424 470464 705696 940928 1411392 2822784 7799411 15598822 23398233 31197644 46796466 62395288 93592932 124790576 187185864 249581152 374371728 499162304 748743456 998324608 1497486912 2994973824