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2655068328 = 2333112235011
BaseRepresentation
bin1001111001000001…
…0010000010101000
320212000222110001000
42132100102002220
520414144141303
61115243155000
7122536464663
oct23620220250
96760873030
102655068328
111142798150
12621215a60
133340b4263
141b28986da
1510815bda3
hex9e4120a8

2655068328 has 128 divisors (see below), whose sum is σ = 8083353600. Its totient is φ = 800798400.

The previous prime is 2655068323. The next prime is 2655068333. The reversal of 2655068328 is 8238605562.

2655068328 is a `hidden beast` number, since 2 + 6 + 550 + 68 + 32 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2655068323) and next prime (2655068333).

It is not an unprimeable number, because it can be changed into a prime (2655068323) 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 31 ways as a sum of consecutive naturals, for example, 527343 + ... + 532353.

It is an arithmetic number, because the mean of its divisors is an integer number (63151200).

Almost surely, 22655068328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2655068328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041676800).

2655068328 is an abundant number, since it is smaller than the sum of its proper divisors (5428285272).

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

2655068328 is a wasteful number, since it uses less digits than its factorization.

2655068328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5260 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2655068328 is about 51527.3551426813. The cubic root of 2655068328 is about 1384.7091671692.

The spelling of 2655068328 in words is "two billion, six hundred fifty-five million, sixty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 223 264 297 396 446 594 669 792 892 1188 1338 1784 2007 2376 2453 2676 4014 4906 5011 5352 6021 7359 8028 9812 10022 12042 14718 15033 16056 19624 20044 22077 24084 29436 30066 40088 44154 45099 48168 55121 58872 60132 66231 88308 90198 110242 120264 132462 135297 165363 176616 180396 220484 264924 270594 330726 360792 440968 496089 529848 541188 661452 992178 1082376 1117453 1322904 1488267 1984356 2234906 2976534 3352359 3968712 4469812 5953068 6704718 8939624 10057077 11906136 12291983 13409436 20114154 24583966 26818872 30171231 36875949 40228308 49167932 60342462 73751898 80456616 98335864 110627847 120684924 147503796 221255694 241369848 295007592 331883541 442511388 663767082 885022776 1327534164 2655068328