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4881617364 = 22313531274649
BaseRepresentation
bin1001000101111011…
…11001000111010100
3110121012121212010010
410202331321013110
534444143223424
62124222000220
7231654030411
oct44275710724
913535555103
104881617364
112085600418
12b42a16070
135ca47cbb0
14344487108
151d8870229
hex122f791d4

4881617364 has 96 divisors (see below), whose sum is σ = 12599193600. Its totient is φ = 1461777408.

The previous prime is 4881617341. The next prime is 4881617369. The reversal of 4881617364 is 4637161884.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881617369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047712 + ... + 1052360.

It is an arithmetic number, because the mean of its divisors is an integer number (131241600).

Almost surely, 24881617364 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 4881617364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

4881617364 is an abundant number, since it is smaller than the sum of its proper divisors (7717576236).

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

4881617364 is a wasteful number, since it uses less digits than its factorization.

4881617364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4847 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 4881617364 is about 69868.5720764351. The cubic root of 4881617364 is about 1696.3725842202.

The spelling of 4881617364 in words is "four billion, eight hundred eighty-one million, six hundred seventeen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 127 156 159 212 254 318 381 508 636 689 762 1378 1524 1651 2067 2756 3302 4134 4649 4953 6604 6731 8268 9298 9906 13462 13947 18596 19812 20193 26924 27894 40386 55788 60437 80772 87503 120874 175006 181311 241748 246397 262509 350012 362622 492794 525018 590423 725244 739191 985588 1050036 1180846 1478382 1771269 2361692 2956764 3203161 3542538 6406322 7085076 7675499 9609483 12812644 15350998 19218966 23026497 30701996 31292419 38437932 46052994 62584838 92105988 93877257 125169676 187754514 375509028 406801447 813602894 1220404341 1627205788 2440808682 4881617364