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3126796704 = 2532293171181
BaseRepresentation
bin1011101001011111…
…0010000110100000
322001220121201201100
42322113302012200
522400424443304
61234134034400
7140325222243
oct27227620640
98056551640
103126796704
111364aa4709
127331a8a00
133aaa4ac85
142193b125a
1513478d439
hexba5f21a0

3126796704 has 144 divisors (see below), whose sum is σ = 9235273320. Its totient is φ = 1002301440.

The previous prime is 3126796697. The next prime is 3126796721. The reversal of 3126796704 is 4076976213.

It can be written as a sum of positive squares in 4 ways, for example, as 2636617104 + 490179600 = 51348^2 + 22140^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3126796704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2646994 + ... + 2648174.

Almost surely, 23126796704 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 3126796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617636660).

3126796704 is an abundant number, since it is smaller than the sum of its proper divisors (6108476616).

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

3126796704 is a wasteful number, since it uses less digits than its factorization.

3126796704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3126796704 is about 55917.7673374036. The cubic root of 3126796704 is about 1462.2890071248.

The spelling of 3126796704 in words is "three billion, one hundred twenty-six million, seven hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 317 348 464 522 634 696 928 951 1044 1181 1268 1392 1902 2088 2362 2536 2784 2853 3543 3804 4176 4724 5072 5706 7086 7608 8352 9193 9448 10144 10629 11412 14172 15216 18386 18896 21258 22824 27579 28344 30432 34249 36772 37792 42516 45648 55158 56688 68498 73544 82737 85032 91296 102747 110316 113376 136996 147088 165474 170064 205494 220632 273992 294176 308241 330948 340128 374377 410988 441264 547984 616482 661896 748754 821976 882528 1095968 1123131 1232964 1323792 1497508 1643952 2246262 2465928 2647584 2995016 3287904 3369393 4492524 4931856 5990032 6738786 8985048 9863712 10856933 11980064 13477572 17970096 21713866 26955144 32570799 35940192 43427732 53910288 65141598 86855464 97712397 107820576 130283196 173710928 195424794 260566392 347421856 390849588 521132784 781699176 1042265568 1563398352 3126796704