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2645745384 = 2332337281461
BaseRepresentation
bin1001110110110010…
…1101111011101000
320211101102210100210
42131230231323220
520404302323014
61114311301120
7122364315252
oct23554557350
96741383323
102645745384
1111384aa737
1261a07a7a0
1333219b919
141b154ccd2
15107419859
hex9db2dee8

2645745384 has 128 divisors (see below), whose sum is σ = 7129140480. Its totient is φ = 816076800.

The previous prime is 2645745373. The next prime is 2645745391. The reversal of 2645745384 is 4835475462.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5738914 + ... + 5739374.

It is an arithmetic number, because the mean of its divisors is an integer number (55696410).

Almost surely, 22645745384 is an apocalyptic number.

2645745384 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 2645745384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564570240).

2645745384 is an abundant number, since it is smaller than the sum of its proper divisors (4483395096).

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

2645745384 is a wasteful number, since it uses less digits than its factorization.

2645745384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The square root of 2645745384 is about 51436.8096211264. The cubic root of 2645745384 is about 1383.0865214610.

The spelling of 2645745384 in words is "two billion, six hundred forty-five million, seven hundred forty-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 281 296 444 461 552 562 843 851 888 922 1124 1383 1686 1702 1844 2248 2553 2766 3372 3404 3688 5106 5532 6463 6744 6808 10212 10397 10603 11064 12926 17057 19389 20424 20794 21206 25852 31191 31809 34114 38778 41588 42412 51171 51704 62382 63618 68228 77556 83176 84824 102342 124764 127236 129541 136456 155112 204684 239131 249528 254472 259082 388623 392311 409368 478262 518164 717393 777246 784622 956524 1036328 1176933 1434786 1554492 1569244 1913048 2353866 2869572 2979443 3108984 3138488 4707732 4793017 5739144 5958886 8938329 9415464 9586034 11917772 14379051 17876658 19172068 23835544 28758102 35753316 38344136 57516204 71506632 110239391 115032408 220478782 330718173 440957564 661436346 881915128 1322872692 2645745384