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4722868416 = 26376315569
BaseRepresentation
bin1000110011000000…
…10100000011000000
3110012010220120111110
410121200110003000
534133023242131
62100351243320
7225015501450
oct43140240300
913163816443
104722868416
112003a32a42
12ab9819540
135a36099c6
1432b361d60
151c9963646
hex1198140c0

4722868416 has 112 divisors (see below), whose sum is σ = 14306255360. Its totient is φ = 1347010560.

The previous prime is 4722868387. The next prime is 4722868421. The reversal of 4722868416 is 6148682274.

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

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

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

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, 845280 + ... + 850848.

Almost surely, 24722868416 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 4722868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153127680).

4722868416 is an abundant number, since it is smaller than the sum of its proper divisors (9583386944).

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

4722868416 is a wasteful number, since it uses less digits than its factorization.

4722868416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222 (or 6212 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 4722868416 is about 68723.1286831442. The cubic root of 4722868416 is about 1677.7810387174.

The spelling of 4722868416 in words is "four billion, seven hundred twenty-two million, eight hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 631 672 1262 1344 1893 2524 3786 4417 5048 5569 7572 8834 10096 11138 13251 15144 16707 17668 20192 22276 26502 30288 33414 35336 38983 40384 44552 53004 60576 66828 70672 77966 89104 106008 116949 121152 133656 141344 155932 178208 212016 233898 267312 282688 311864 356416 424032 467796 534624 623728 848064 935592 1069248 1247456 1871184 2494912 3514039 3742368 7028078 7484736 10542117 14056156 21084234 24598273 28112312 42168468 49196546 56224624 73794819 84336936 98393092 112449248 147589638 168673872 196786184 224898496 295179276 337347744 393572368 590358552 674695488 787144736 1180717104 1574289472 2361434208 4722868416