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2674163968 = 2871978541
BaseRepresentation
bin1001111101100100…
…1000000100000000
320220100220121022221
42133121020010000
520434041221333
61121204340424
7123161006260
oct23731100400
96810817287
102674163968
11115254aa73
126276a4714
1333803bb58
141b52297a0
15109b7ed2d
hex9f648100

2674163968 has 72 divisors (see below), whose sum is σ = 6421593920. Its totient is φ = 1085736960.

The previous prime is 2674163963. The next prime is 2674163981. The reversal of 2674163968 is 8693614762.

It is not an unprimeable number, because it can be changed into a prime (2674163963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5223 + ... + 73318.

Almost surely, 22674163968 is an apocalyptic number.

2674163968 is a gapful number since it is divisible by the number (28) 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 2674163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210796960).

2674163968 is an abundant number, since it is smaller than the sum of its proper divisors (3747429952).

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

2674163968 is an equidigital number, since it uses as much as digits as its factorization.

2674163968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78583 (or 78569 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The square root of 2674163968 is about 51712.3193059449. The cubic root of 2674163968 is about 1388.0209172795.

It can be divided in two parts, 26741 and 63968, that added together give a palindrome (90709).

The spelling of 2674163968 in words is "two billion, six hundred seventy-four million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 532 608 896 1064 1216 1792 2128 2432 4256 4864 8512 17024 34048 78541 157082 314164 549787 628328 1099574 1256656 1492279 2199148 2513312 2984558 4398296 5026624 5969116 8796592 10053248 10445953 11938232 17593184 20106496 20891906 23876464 35186368 41783812 47752928 70372736 83567624 95505856 140745472 167135248 191011712 334270496 382023424 668540992 1337081984 2674163968