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6991838648448 = 27331819171707
BaseRepresentation
bin110010110111110101000…
…0011110001100010000000
3220202102011020221100202120
41211233222003301202000
51404023241143222243
622512001211244240
71321100164631313
oct145575203614200
926672136840676
106991838648448
112256249705105
1294b094749680
133b9434840824
141a259a36a97a
15c1d18e80c83
hex65bea0f1880

6991838648448 has 128 divisors (see below), whose sum is σ = 19173778391040. Its totient is φ = 2255125017600.

The previous prime is 6991838648437. The next prime is 6991838648453. The reversal of 6991838648448 is 8448468381996.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97469811 + ... + 97541517.

It is an arithmetic number, because the mean of its divisors is an integer number (149795143680).

Almost surely, 26991838648448 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 6991838648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586889195520).

6991838648448 is an abundant number, since it is smaller than the sum of its proper divisors (12181939742592).

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

6991838648448 is a wasteful number, since it uses less digits than its factorization.

6991838648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79946 (or 79934 counting only the distinct ones).

The product of its digits is 2293235712, while the sum is 78.

The spelling of 6991838648448 in words is "six trillion, nine hundred ninety-one billion, eight hundred thirty-eight million, six hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 8191 11904 16382 24573 32764 49146 65528 71707 98292 131056 143414 196584 215121 253921 262112 286828 393168 430242 507842 524224 573656 761763 786336 860484 1015684 1048448 1147312 1523526 1572672 1720968 2031368 2222917 2294624 3047052 3145344 3441936 4062736 4445834 4589248 6094104 6668751 6883872 8125472 8891668 9178496 12188208 13337502 13767744 16250944 17783336 24376416 26675004 27535488 32501888 35566672 48752832 53350008 71133344 97505664 106700016 142266688 213400032 284533376 426800064 587352037 853600128 1174704074 1762056111 2349408148 3524112222 4698816296 7048224444 9397632592 14096448888 18207913147 18795265184 28192897776 36415826294 37590530368 54623739441 56385795552 72831652588 75181060736 109247478882 112771591104 145663305176 218494957764 225543182208 291326610352 436989915528 582653220704 873979831056 1165306441408 1747959662112 2330612882816 3495919324224 6991838648448