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4864375264 = 257109281709
BaseRepresentation
bin1001000011111000…
…00111100111100000
3110120000011212101211
410201330013213200
534430240002024
62122404235504
7231354336040
oct44174074740
913500155354
104864375264
1120768a4151
12b3909bb94
135c6a23b78
14342079720
151d70b6594
hex121f079e0

4864375264 has 96 divisors (see below), whose sum is σ = 11100196800. Its totient is φ = 2055352320.

The previous prime is 4864375247. The next prime is 4864375279. The reversal of 4864375264 is 4625734684.

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, 6860542 + ... + 6861250.

It is an arithmetic number, because the mean of its divisors is an integer number (115627050).

Almost surely, 24864375264 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 4864375264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550098400).

4864375264 is an abundant number, since it is smaller than the sum of its proper divisors (6235821536).

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

4864375264 is a wasteful number, since it uses less digits than its factorization.

4864375264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1108 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 49.

The square root of 4864375264 is about 69745.0734030727. The cubic root of 4864375264 is about 1694.3730058298.

The spelling of 4864375264 in words is "four billion, eight hundred sixty-four million, three hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 281 436 562 709 763 872 1124 1418 1526 1744 1967 2248 2836 3052 3488 3934 4496 4963 5672 6104 7868 8992 9926 11344 12208 15736 19852 22688 24416 30629 31472 39704 61258 62944 77281 79408 122516 154562 158816 199229 214403 245032 309124 398458 428806 490064 540967 618248 796916 857612 980128 1081934 1236496 1394603 1593832 1715224 2163868 2472992 2789206 3187664 3430448 4327736 5578412 6375328 6860896 8655472 11156824 17310944 21715961 22313648 43431922 44627296 86863844 152011727 173727688 304023454 347455376 608046908 694910752 1216093816 2432187632 4864375264