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2968008692 = 22115310191249
BaseRepresentation
bin1011000011101000…
…0011011111110100
321122211211110111212
42300322003133310
522034302234232
61210302420552
7133356441365
oct26072033764
97584743455
102968008692
1112933aa950
126a9b91758
13383b9307c
14202279b6c
15125874eb2
hexb0e837f4

2968008692 has 48 divisors (see below), whose sum is σ = 5783400000. Its totient is φ = 1321282560.

The previous prime is 2968008691. The next prime is 2968008713.

2968008692 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2968008692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2968008691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2375684 + ... + 2376932.

It is an arithmetic number, because the mean of its divisors is an integer number (120487500).

Almost surely, 22968008692 is an apocalyptic number.

2968008692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2968008692 is a deficient number, since it is larger than the sum of its proper divisors (2815391308).

2968008692 is a wasteful number, since it uses less digits than its factorization.

2968008692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The square root of 2968008692 is about 54479.4336607862. The cubic root of 2968008692 is about 1437.1046330158.

The spelling of 2968008692 in words is "two billion, nine hundred sixty-eight million, eight thousand, six hundred ninety-two".

Divisors: 1 2 4 11 22 44 53 106 212 583 1019 1166 1249 2038 2332 2498 4076 4996 11209 13739 22418 27478 44836 54007 54956 66197 108014 132394 216028 264788 594077 728167 1188154 1272731 1456334 2376308 2545462 2912668 5090924 14000041 28000082 56000164 67454743 134909486 269818972 742002173 1484004346 2968008692