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2648991696 = 2431323379487
BaseRepresentation
bin1001110111100100…
…0110011111010000
320211121112201110120
42131321012133100
520411120213241
61114505030240
7122434025601
oct23571063720
96747481416
102648991696
11113a31773a
1261b185380
13332a67410
141b1b55da8
1510785b666
hex9de467d0

2648991696 has 160 divisors (see below), whose sum is σ = 7726172160. Its totient is φ = 775982592.

The previous prime is 2648991691. The next prime is 2648991701. The reversal of 2648991696 is 6961998462.

It is an interprime number because it is at equal distance from previous prime (2648991691) and next prime (2648991701).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2648991691) 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, 5439165 + ... + 5439651.

It is an arithmetic number, because the mean of its divisors is an integer number (48288576).

Almost surely, 22648991696 is an apocalyptic number.

2648991696 is a gapful number since it is divisible by the number (26) 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 2648991696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863086080).

2648991696 is an abundant number, since it is smaller than the sum of its proper divisors (5077180464).

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

2648991696 is a wasteful number, since it uses less digits than its factorization.

2648991696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 2648991696 is about 51468.3562589675. The cubic root of 2648991696 is about 1383.6519695798.

The spelling of 2648991696 in words is "two billion, six hundred forty-eight million, nine hundred ninety-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 379 487 552 598 624 758 897 974 1104 1137 1196 1461 1516 1794 1948 2274 2392 2922 3032 3588 3896 4548 4784 4927 5844 6064 6331 7176 7792 8717 9096 9854 11201 11688 12662 14352 14781 17434 18192 18993 19708 22402 23376 25324 26151 29562 33603 34868 37986 39416 44804 50648 52302 59124 67206 69736 75972 78832 89608 101296 104604 113321 118248 134412 139472 145613 151944 179216 184573 209208 226642 236496 268824 291226 303888 339963 369146 418416 436839 453284 537648 553719 582452 679926 738292 873678 906568 1107438 1164904 1359852 1476584 1747356 1813136 2214876 2329808 2399449 2719704 2953168 3494712 4245179 4429752 4798898 5439408 6989424 7198347 8490358 8859504 9597796 12735537 14396694 16980716 19195592 25471074 28793388 33961432 38391184 50942148 55187327 57586776 67922864 101884296 110374654 115173552 165561981 203768592 220749308 331123962 441498616 662247924 882997232 1324495848 2648991696