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4241678784 = 263714812131
BaseRepresentation
bin1111110011010010…
…1110000111000000
3101221121110121102020
43330310232013000
532141332210114
61540521521440
7210053450310
oct37464560700
911847417366
104241678784
111887354062
129a4643280
13527a0c705
142c34a5440
1519c5b3aa9
hexfcd2e1c0

4241678784 has 112 divisors (see below), whose sum is σ = 12840711936. Its totient is φ = 1210521600.

The previous prime is 4241678767. The next prime is 4241678803. The reversal of 4241678784 is 4878761424.

4241678784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1989399 + ... + 1991529.

Almost surely, 24241678784 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 4241678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420355968).

4241678784 is an abundant number, since it is smaller than the sum of its proper divisors (8599033152).

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

4241678784 is a wasteful number, since it uses less digits than its factorization.

4241678784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3624 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 51.

The square root of 4241678784 is about 65128.1719688185. The cubic root of 4241678784 is about 1618.7480527021.

The spelling of 4241678784 in words is "four billion, two hundred forty-one million, six hundred seventy-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1481 2131 2962 4262 4443 5924 6393 8524 8886 10367 11848 12786 14917 17048 17772 20734 23696 25572 29834 31101 34096 35544 41468 44751 47392 51144 59668 62202 68192 71088 82936 89502 94784 102288 119336 124404 136384 142176 165872 179004 204576 238672 248808 284352 331744 358008 409152 477344 497616 663488 716016 954688 995232 1432032 1990464 2864064 3156011 6312022 9468033 12624044 18936066 22092077 25248088 37872132 44184154 50496176 66276231 75744264 88368308 100992352 132552462 151488528 176736616 201984704 265104924 302977056 353473232 530209848 605954112 706946464 1060419696 1413892928 2120839392 4241678784