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4872377844 = 223241113131223
BaseRepresentation
bin1001000100110101…
…01001010111110100
3110120120020102212200
410202122221113310
534434312042334
62123251544500
7231512346135
oct44232512764
913516212780
104872377844
11208036a654
12b3b8bb130
135c8596519
1434315dc8c
151d7b47799
hex1226a95f4

4872377844 has 144 divisors (see below), whose sum is σ = 12883014144. Its totient is φ = 1551513600.

The previous prime is 4872377813. The next prime is 4872377857. The reversal of 4872377844 is 4487732784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21849117 + ... + 21849339.

It is an arithmetic number, because the mean of its divisors is an integer number (89465376).

Almost surely, 24872377844 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 4872377844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441507072).

4872377844 is an abundant number, since it is smaller than the sum of its proper divisors (8010636300).

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

4872377844 is a wasteful number, since it uses less digits than its factorization.

4872377844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The square root of 4872377844 is about 69802.4200440071. The cubic root of 4872377844 is about 1695.3016572257.

The spelling of 4872377844 in words is "four billion, eight hundred seventy-two million, three hundred seventy-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 113 123 131 164 223 226 246 262 339 369 393 446 452 492 524 669 678 738 786 892 1017 1179 1338 1356 1476 1572 2007 2034 2358 2676 4014 4068 4633 4716 5371 8028 9143 9266 10742 13899 14803 16113 18286 18532 21484 25199 27429 27798 29213 29606 32226 36572 41697 44409 48339 50398 54858 55596 58426 59212 64452 75597 82287 83394 87639 88818 96678 100796 109716 116852 133227 151194 164574 166788 175278 177636 193356 226791 262917 266454 302388 329148 350556 453582 525834 532908 606923 907164 1033159 1051668 1197733 1213846 1820769 2066318 2395466 2427692 3099477 3301069 3593199 3641538 4132636 4790932 5462307 6198954 6602138 7186398 7283076 9298431 9903207 10779597 10924614 12397908 13204276 14372796 18596862 19806414 21559194 21849228 29709621 37193724 39612828 43118388 59419242 118838484 135343829 270687658 406031487 541375316 812062974 1218094461 1624125948 2436188922 4872377844