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2648485944 = 2333138111163
BaseRepresentation
bin1001110111011100…
…1011000000111000
320211120121000201000
42131313023000320
520411003022234
61114450125000
7122426521236
oct23567130070
96746530630
102648485944
11113a001765
1261ab80760
1333291b160
141b1a63956
151077ab899
hex9ddcb038

2648485944 has 128 divisors (see below), whose sum is σ = 7939411200. Its totient is φ = 813214080.

The previous prime is 2648485921. The next prime is 2648485951. The reversal of 2648485944 is 4495848462.

It is a happy number.

2648485944 is a `hidden beast` number, since 2 + 6 + 4 + 8 + 48 + 594 + 4 = 666.

2648485944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26484859442 = 14028955591131142272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2276707 + ... + 2277869.

It is an arithmetic number, because the mean of its divisors is an integer number (62026650).

Almost surely, 22648485944 is an apocalyptic number.

2648485944 is a gapful number since it is divisible by the number (24) 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 2648485944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969705600).

2648485944 is an abundant number, since it is smaller than the sum of its proper divisors (5290925256).

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

2648485944 is a wasteful number, since it uses less digits than its factorization.

2648485944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 2648485944 is about 51463.4427919470. The cubic root of 2648485944 is about 1383.5639072312.

The spelling of 2648485944 in words is "two billion, six hundred forty-eight million, four hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 811 936 1163 1404 1622 2326 2433 2808 3244 3489 4652 4866 6488 6978 7299 9304 9732 10467 10543 13956 14598 15119 19464 20934 21086 21897 27912 29196 30238 31401 31629 41868 42172 43794 45357 58392 60476 62802 63258 83736 84344 87588 90714 94887 120952 125604 126516 136071 175176 181428 189774 251208 253032 272142 284661 362856 379548 408213 544284 569322 759096 816426 943193 1088568 1138644 1632852 1886386 2277288 2829579 3265704 3772772 5659158 7545544 8488737 11318316 12261509 16977474 22636632 24523018 25466211 33954948 36784527 49046036 50932422 67909896 73569054 98092072 101864844 110353581 147138108 203729688 220707162 294276216 331060743 441414324 662121486 882828648 1324242972 2648485944