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2493849447160 = 235313316419479
BaseRepresentation
bin100100010010100101000…
…000101010101011111000
322211102001122201002212021
4210102211000222223320
5311324400424302120
65145354132324224
7345113625354451
oct44224500525370
98742048632767
102493849447160
118816a9aa8965
123433a9173674
13151227382966
14889bacb4128
1544d0db89aaa
hex244a502aaf8

2493849447160 has 128 divisors (see below), whose sum is σ = 5819342745600. Its totient is φ = 960841728000.

The previous prime is 2493849447157. The next prime is 2493849447169. The reversal of 2493849447160 is 617449483942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493849447169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263087301 + ... + 263096779.

It is an arithmetic number, because the mean of its divisors is an integer number (45463615200).

Almost surely, 22493849447160 is an apocalyptic number.

2493849447160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493849447160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909671372800).

2493849447160 is an abundant number, since it is smaller than the sum of its proper divisors (3325493298440).

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

2493849447160 is a wasteful number, since it uses less digits than its factorization.

2493849447160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10493 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 2493849447160 in words is "two trillion, four hundred ninety-three billion, eight hundred forty-nine million, four hundred forty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 331 620 641 662 1240 1282 1324 1655 2564 2648 3205 3310 5128 6410 6620 9479 10261 12820 13240 18958 19871 20522 25640 37916 39742 41044 47395 51305 75832 79484 82088 94790 99355 102610 158968 189580 198710 205220 212171 293849 379160 397420 410440 424342 587698 794840 848684 1060855 1175396 1469245 1697368 2121710 2350792 2938490 3137549 4243420 5876980 6076039 6275098 6577301 8486840 11753960 12152078 12550196 13154602 15687745 24304156 25100392 26309204 30380195 31375490 32886505 48608312 52618408 60760390 62750980 65773010 97264019 121520780 125501960 131546020 188357209 194528038 243041560 263092040 376714418 389056076 486320095 753428836 778112152 941786045 972640190 1506857672 1883572090 1945280380 2011168909 3767144180 3890560760 4022337818 7534288360 8044675636 10055844545 16089351272 20111689090 40223378180 62346236179 80446756360 124692472358 249384944716 311731180895 498769889432 623462361790 1246924723580 2493849447160