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2693197968 = 243533532999
BaseRepresentation
bin1010000010000110…
…1111000010010000
320221200201122001220
42200201233002100
521003424313333
61123124325040
7123511543056
oct24041570220
96850648056
102693197968
11116227054a
12631b43780
1333bc74686
141b79821d6
1510b68e8b3
hexa086f090

2693197968 has 80 divisors (see below), whose sum is σ = 7111152000. Its totient is φ = 878006272.

The previous prime is 2693197967. The next prime is 2693197993. The reversal of 2693197968 is 8697913962.

It is not an unprimeable number, because it can be changed into a prime (2693197963) 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, 896533 + ... + 899531.

It is an arithmetic number, because the mean of its divisors is an integer number (88889400).

Almost surely, 22693197968 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 2693197968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555576000).

2693197968 is an abundant number, since it is smaller than the sum of its proper divisors (4417954032).

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

2693197968 is a wasteful number, since it uses less digits than its factorization.

2693197968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3410 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 60.

The square root of 2693197968 is about 51896.0303684203. The cubic root of 2693197968 is about 1391.3063246781.

It can be divided in two parts, 2693 and 197968, that added together give a triangular number (200661 = T633).

The spelling of 2693197968 in words is "two billion, six hundred ninety-three million, one hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 353 424 636 706 848 1059 1272 1412 2118 2544 2824 2999 4236 5648 5998 8472 8997 11996 16944 17994 18709 23992 35988 37418 47984 56127 71976 74836 112254 143952 149672 158947 224508 299344 317894 449016 476841 635788 898032 953682 1058647 1271576 1907364 2117294 2543152 3175941 3814728 4234588 6351882 7629456 8469176 12703764 16938352 25407528 50815056 56108291 112216582 168324873 224433164 336649746 448866328 673299492 897732656 1346598984 2693197968