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2991337104 = 243721271827
BaseRepresentation
bin1011001001001100…
…0010111010010000
321201110201200002010
42302103002322100
522111240241404
61212454422520
7134061642300
oct26223027220
97643650063
102991337104
1112a5593928
126b5961a40
13388970472
142053cd600
15127932189
hexb24c2e90

2991337104 has 60 divisors (see below), whose sum is σ = 8989280304. Its totient is φ = 854667072.

The previous prime is 2991337073. The next prime is 2991337109. The reversal of 2991337104 is 4017331992.

It is not an unprimeable number, because it can be changed into a prime (2991337109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 633562 + ... + 638265.

Almost surely, 22991337104 is an apocalyptic number.

2991337104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2991337104 is an abundant number, since it is smaller than the sum of its proper divisors (5997943200).

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

2991337104 is a wasteful number, since it uses less digits than its factorization.

2991337104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271852 (or 1271839 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2991337104 is about 54693.1175194832. The cubic root of 2991337104 is about 1440.8600032581.

The spelling of 2991337104 in words is "two billion, nine hundred ninety-one million, three hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 1271827 2543654 3815481 5087308 7630962 8902789 10174616 15261924 17805578 20349232 26708367 30523848 35611156 53416734 61047696 62319523 71222312 106833468 124639046 142444624 186958569 213666936 249278092 373917138 427333872 498556184 747834276 997112368 1495668552 2991337104