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2493289968 = 243135967723
BaseRepresentation
bin1001010010011100…
…1001010111110000
320102202120020211220
42110213021113300
520101240234333
61051223505040
7115533420651
oct22447112760
96382506756
102493289968
11106a440724
12596bb8180
13309720210
141991c5528
15e8d528b3
hex949c95f0

2493289968 has 80 divisors (see below), whose sum is σ = 7054131840. Its totient is φ = 754152192.

The previous prime is 2493289963. The next prime is 2493289973. The reversal of 2493289968 is 8699823942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2493289963) and next prime (2493289973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493289963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2955 + ... + 70677.

It is an arithmetic number, because the mean of its divisors is an integer number (88176648).

Almost surely, 22493289968 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 2493289968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527065920).

2493289968 is an abundant number, since it is smaller than the sum of its proper divisors (4560841872).

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

2493289968 is a wasteful number, since it uses less digits than its factorization.

2493289968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806 (or 67800 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 2493289968 is about 49932.8545949458. The cubic root of 2493289968 is about 1355.9934650445.

The spelling of 2493289968 in words is "two billion, four hundred ninety-three million, two hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 67723 135446 203169 270892 406338 541784 812676 880399 1083568 1625352 1760798 2641197 3250704 3521596 3995657 5282394 7043192 7991314 10564788 11986971 14086384 15982628 21129576 23973942 31965256 42259152 47947884 51943541 63930512 95895768 103887082 155830623 191791536 207774164 311661246 415548328 623322492 831096656 1246644984 2493289968