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4768089024 = 263731093121
BaseRepresentation
bin1000111000011001…
…10100001111000000
3110022022000000111210
410130030310033000
534231112322044
62105044410120
7226105042116
oct43414641700
913268000453
104768089024
112027509946
12b109a6940
135acab086a
14333373ab6
151cd8e71b9
hex11c3343c0

4768089024 has 112 divisors (see below), whose sum is σ = 12909844640. Its totient is φ = 1552711680.

The previous prime is 4768088989. The next prime is 4768089089. The reversal of 4768089024 is 4209808674.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1526184 + ... + 1529304.

It is an arithmetic number, because the mean of its divisors is an integer number (115266470).

Almost surely, 24768089024 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 4768089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454922320).

4768089024 is an abundant number, since it is smaller than the sum of its proper divisors (8141755616).

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

4768089024 is a wasteful number, since it uses less digits than its factorization.

4768089024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3308 counting only the distinct ones).

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

The square root of 4768089024 is about 69051.3506312512. The cubic root of 4768089024 is about 1683.1188549098.

The spelling of 4768089024 in words is "four billion, seven hundred sixty-eight million, eighty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 109 146 192 218 219 292 327 436 438 584 654 872 876 1168 1308 1744 1752 2336 2616 3121 3488 3504 4672 5232 6242 6976 7008 7957 9363 10464 12484 14016 15914 18726 20928 23871 24968 31828 37452 47742 49936 63656 74904 95484 99872 127312 149808 190968 199744 227833 254624 299616 340189 381936 455666 509248 599232 680378 683499 763872 911332 1020567 1360756 1366998 1527744 1822664 2041134 2721512 2733996 3645328 4082268 5443024 5467992 7290656 8164536 10886048 10935984 14581312 16329072 21772096 21871968 24833797 32658144 43743936 49667594 65316288 74501391 99335188 149002782 198670376 298005564 397340752 596011128 794681504 1192022256 1589363008 2384044512 4768089024