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2124500873248 = 251361106978317
BaseRepresentation
bin11110111010100110000…
…111101011000000100000
321112002201010012111211201
4132322212013223000200
5234301434210420443
64303552054450544
7306330053315635
oct36724607530040
97462633174751
102124500873248
11749aa53a2666
122a38ab063a54
1312545506c840
1474b7d88c18c
153a3e319534d
hex1eea61eb020

2124500873248 has 96 divisors (see below), whose sum is σ = 4582533417840. Its totient is φ = 963549941760.

The previous prime is 2124500873237. The next prime is 2124500873249. The reversal of 2124500873248 is 8423780054212.

It can be written as a sum of positive squares in 8 ways, for example, as 157853646864 + 1966647226384 = 397308^2 + 1402372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2124500873198 and 2124500873207.

It is not an unprimeable number, because it can be changed into a prime (2124500873249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27087786 + ... + 27166102.

Almost surely, 22124500873248 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 2124500873248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291266708920).

2124500873248 is an abundant number, since it is smaller than the sum of its proper divisors (2458032544592).

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

2124500873248 is a wasteful number, since it uses less digits than its factorization.

2124500873248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79470 (or 79462 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 2124500873248 in words is "two trillion, one hundred twenty-four billion, five hundred million, eight hundred seventy-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1069 1586 1952 2138 3172 4276 6344 8552 12688 13897 17104 25376 27794 34208 55588 65209 78317 111176 130418 156634 222352 260836 313268 444704 521672 626536 847717 1018121 1043344 1253072 1695434 2036242 2086688 2506144 3390868 4072484 4777337 6781736 8144968 9554674 13563472 16289936 19109348 27126944 32579872 38218696 62105381 76437392 83720873 124210762 152874784 167441746 248421524 334883492 496843048 669766984 993686096 1088371349 1339533968 1987372192 2176742698 2679067936 4353485396 5106973253 8706970792 10213946506 17413941584 20427893012 34827883168 40855786024 66390652289 81711572048 132781304578 163423144096 265562609156 531125218312 1062250436624 2124500873248