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2455160064 = 28372571777
BaseRepresentation
bin1001001001010110…
…1100010100000000
320100002211001110020
42102111230110000
520012010110224
61043342333440
7114561342030
oct22225542400
96302731406
102455160064
11104a968105
1258628a280
1330185c946
141940db8c0
15e581ec79
hex9256c500

2455160064 has 144 divisors (see below), whose sum is σ = 7501054848. Its totient is φ = 698351616.

The previous prime is 2455160053. The next prime is 2455160087. The reversal of 2455160064 is 4600615542.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1380744 + ... + 1382520.

Almost surely, 22455160064 is an apocalyptic number.

2455160064 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 2455160064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750527424).

2455160064 is an abundant number, since it is smaller than the sum of its proper divisors (5045894784).

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

2455160064 is a wasteful number, since it uses less digits than its factorization.

2455160064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2455160064 is about 49549.5717842243. The cubic root of 2455160064 is about 1349.0455190091.

The spelling of 2455160064 in words is "two billion, four hundred fifty-five million, one hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 257 336 384 448 514 672 768 771 896 1028 1344 1542 1777 1792 1799 2056 2688 3084 3554 3598 4112 5331 5376 5397 6168 7108 7196 8224 10662 10794 12336 12439 14216 14392 16448 21324 21588 24672 24878 28432 28784 32896 37317 42648 43176 49344 49756 56864 57568 65792 74634 85296 86352 98688 99512 113728 115136 149268 170592 172704 197376 199024 227456 230272 298536 341184 345408 398048 454912 456689 460544 597072 682368 690816 796096 913378 1194144 1364736 1370067 1381632 1592192 1826756 2388288 2740134 3184384 3196823 3653512 4776576 5480268 6393646 7307024 9553152 9590469 10960536 12787292 14614048 19180938 21921072 25574584 29228096 38361876 43842144 51149168 58456192 76723752 87684288 102298336 116912384 153447504 175368576 204596672 306895008 350737152 409193344 613790016 818386688 1227580032 2455160064