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1996510848 = 27353263373
BaseRepresentation
bin111011100000000…
…0101011010000000
312011010210021000020
41313000011122000
513042101321343
6530040053440
7100322030223
oct16700053200
95133707006
101996510848
11934a84172
12478764280
1325a825187
1414d22b5ba
15ba423b83
hex77005680

1996510848 has 128 divisors (see below), whose sum is σ = 5438378880. Its totient is φ = 648720384.

The previous prime is 1996510847. The next prime is 1996510849. The reversal of 1996510848 is 8480156991.

It is an interprime number because it is at equal distance from previous prime (1996510847) and next prime (1996510849).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1996510848.

It is not an unprimeable number, because it can be changed into a prime (1996510843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352390 + ... + 5352762.

It is an arithmetic number, because the mean of its divisors is an integer number (42487335).

Almost surely, 21996510848 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 1996510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719189440).

1996510848 is an abundant number, since it is smaller than the sum of its proper divisors (3441868032).

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

1996510848 is a wasteful number, since it uses less digits than its factorization.

1996510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 1996510848 is about 44682.3326159233. The cubic root of 1996510848 is about 1259.1879474033.

The spelling of 1996510848 in words is "one billion, nine hundred ninety-six million, five hundred ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 263 318 373 384 424 526 636 746 789 848 1052 1119 1272 1492 1578 1696 2104 2238 2544 2984 3156 3392 4208 4476 5088 5968 6312 6784 8416 8952 10176 11936 12624 13939 16832 17904 19769 20352 23872 25248 27878 33664 35808 39538 41817 47744 50496 55756 59307 71616 79076 83634 98099 100992 111512 118614 143232 158152 167268 196198 223024 237228 294297 316304 334536 392396 446048 474456 588594 632608 669072 784792 892096 948912 1177188 1265216 1338144 1569584 1784192 1897824 2354376 2530432 2676288 3139168 3795648 4708752 5199247 5352576 6278336 7591296 9417504 10398494 12556672 15597741 18835008 20796988 31195482 37670016 41593976 62390964 83187952 124781928 166375904 249563856 332751808 499127712 665503616 998255424 1996510848