Search a number
-
+
3882944618520 = 2335114368409877
BaseRepresentation
bin111000100000010001100…
…010001110000000011000
3111202012120002100012122220
4320200101202032000120
51002104232310243040
612131444454544040
7550350662453262
oct70402142160030
914665502305586
103882944618520
111267825010a80
1252865a368020
132222109a4bb6
14d5d15104b32
156b00e7a92d0
hex3881188e018

3882944618520 has 128 divisors (see below), whose sum is σ = 13003349610240. Its totient is φ = 919428733440.

The previous prime is 3882944618467. The next prime is 3882944618521. The reversal of 3882944618520 is 258164492883.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882944618521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34148179 + ... + 34261698.

It is an arithmetic number, because the mean of its divisors is an integer number (101588668830).

Almost surely, 23882944618520 is an apocalyptic number.

3882944618520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3882944618520 is an abundant number, since it is smaller than the sum of its proper divisors (9120404991720).

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

3882944618520 is a wasteful number, since it uses less digits than its factorization.

3882944618520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68409945 (or 68409941 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 3882944618520 in words is "three trillion, eight hundred eighty-two billion, nine hundred forty-four million, six hundred eighteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 68409877 136819754 205229631 273639508 342049385 410459262 547279016 684098770 752508647 820918524 1026148155 1368197540 1505017294 1641837048 2052296310 2257525941 2736395080 2941624711 3010034588 3762543235 4104592620 4515051882 5883249422 6020069176 7525086470 8209185240 8824874133 9030103764 11287629705 11766498844 14708123555 15050172940 17649748266 18060207528 22575259410 23532997688 29416247110 30100345880 32357871821 35299496532 44124370665 45150518820 58832494220 64715743642 70598993064 88248741330 90301037640 97073615463 117664988440 129431487284 161789359105 176497482660 194147230926 258862974568 323578718210 352994965320 388294461852 485368077315 647157436420 776588923704 970736154630 1294314872840 1941472309260 3882944618520