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4156741248 = 273118811117
BaseRepresentation
bin1111011111000010…
…1101011010000000
3101201200122100000120
43313300231122000
532003111204443
61524245220240
7205002501102
oct36760553200
911650570016
104156741248
111843410250
12980101680
13513240b0a
142b60b5572
15194dd7083
hexf7c2d680

4156741248 has 128 divisors (see below), whose sum is σ = 12069570240. Its totient is φ = 1257062400.

The previous prime is 4156741229. The next prime is 4156741271. The reversal of 4156741248 is 8421476514.

4156741248 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 (128).

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, 3720786 + ... + 3721902.

Almost surely, 24156741248 is an apocalyptic number.

4156741248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4156741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6034785120).

4156741248 is an abundant number, since it is smaller than the sum of its proper divisors (7912828992).

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

4156741248 is a wasteful number, since it uses less digits than its factorization.

4156741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2014 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 4156741248 is about 64472.7946346364. The cubic root of 4156741248 is about 1607.8702402655.

The spelling of 4156741248 in words is "four billion, one hundred fifty-six million, seven hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 881 1056 1117 1408 1762 2112 2234 2643 3351 3524 4224 4468 5286 6702 7048 8936 9691 10572 12287 13404 14096 17872 19382 21144 24574 26808 28192 29073 35744 36861 38764 42288 49148 53616 56384 58146 71488 73722 77528 84576 98296 107232 112768 116292 142976 147444 155056 169152 196592 214464 232584 294888 310112 338304 393184 428928 465168 589776 620224 786368 930336 984077 1179552 1240448 1572736 1860672 1968154 2359104 2952231 3721344 3936308 4718208 5904462 7872616 10824847 11808924 15745232 21649694 23617848 31490464 32474541 43299388 47235696 62980928 64949082 86598776 94471392 125961856 129898164 173197552 188942784 259796328 346395104 377885568 519592656 692790208 1039185312 1385580416 2078370624 4156741248