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2655411440 = 245116534621
BaseRepresentation
bin1001111001000110…
…0101110011110000
320212001121212200212
42132101211303300
520414241131230
61115254403252
7122542424213
oct23621456360
96761555625
102655411440
111142a01a10
12621360528
133341a4496
141b294777a
151081c8895
hex9e465cf0

2655411440 has 80 divisors (see below), whose sum is σ = 6746862816. Its totient is φ = 963916800.

The previous prime is 2655411391. The next prime is 2655411487. The reversal of 2655411440 is 441145562.

2655411440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2655411397 and 2655411406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 572330 + ... + 576950.

Almost surely, 22655411440 is an apocalyptic number.

2655411440 is a gapful number since it is divisible by the number (20) 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 2655411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373431408).

2655411440 is an abundant number, since it is smaller than the sum of its proper divisors (4091451376).

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

2655411440 is a wasteful number, since it uses less digits than its factorization.

2655411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2655411440 is about 51530.6844511113. The cubic root of 2655411440 is about 1384.7688128240.

The spelling of 2655411440 in words is "two billion, six hundred fifty-five million, four hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 653 880 1306 2612 3265 4621 5224 6530 7183 9242 10448 13060 14366 18484 23105 26120 28732 35915 36968 46210 50831 52240 57464 71830 73936 92420 101662 114928 143660 184840 203324 254155 287320 369680 406648 508310 574640 813296 1016620 2033240 3017513 4066480 6035026 12070052 15087565 24140104 30175130 33192643 48280208 60350260 66385286 120700520 132770572 165963215 241401040 265541144 331926430 531082288 663852860 1327705720 2655411440