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4400013696 = 27313267801
BaseRepresentation
bin1000001100100001…
…01110000110000000
3102100122101212002020
410012100232012000
533002400414241
62004335321440
7214015333161
oct40620560600
912318355066
104400013696
111958769461
12a29680280
13551769300
142da51d768
151ab43cb66
hex10642e180

4400013696 has 96 divisors (see below), whose sum is σ = 12655921320. Its totient is φ = 1353830400.

The previous prime is 4400013691. The next prime is 4400013697. The reversal of 4400013696 is 6963100044.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400013691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30996 + ... + 98796.

Almost surely, 24400013696 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 4400013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327960660).

4400013696 is an abundant number, since it is smaller than the sum of its proper divisors (8255907624).

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

4400013696 is a wasteful number, since it uses less digits than its factorization.

4400013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67844 (or 67819 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4400013696 is about 66332.5990445120. The cubic root of 4400013696 is about 1638.6442414153.

The spelling of 4400013696 in words is "four billion, four hundred million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 21632 32448 64896 67801 135602 203403 271204 406806 542408 813612 881413 1084816 1627224 1762826 2169632 2644239 3254448 3525652 4339264 5288478 6508896 7051304 8678528 10576956 11458369 13017792 14102608 21153912 22916738 26035584 28205216 34375107 42307824 45833476 56410432 68750214 84615648 91666952 112820864 137500428 169231296 183333904 275000856 338462592 366667808 550001712 733335616 1100003424 1466671232 2200006848 4400013696