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2455106780 = 2257219912589
BaseRepresentation
bin1001001001010101…
…1111010011011100
320100002201100100202
42102111133103130
520012001404110
61043341243032
7114561030500
oct22225372334
96302640322
102455106780
11104a931075
12586263478
13301841609
141940c6300
15e580e0a5
hex9255f4dc

2455106780 has 72 divisors (see below), whose sum is σ = 6028092000. Its totient is φ = 837454464.

The previous prime is 2455106777. The next prime is 2455106803. The reversal of 2455106780 is 876015542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188726 + ... + 201314.

It is an arithmetic number, because the mean of its divisors is an integer number (83723500).

Almost surely, 22455106780 is an apocalyptic number.

2455106780 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 2455106780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014046000).

2455106780 is an abundant number, since it is smaller than the sum of its proper divisors (3572985220).

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

2455106780 is a wasteful number, since it uses less digits than its factorization.

2455106780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12802 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 2455106780 is about 49549.0340975483. The cubic root of 2455106780 is about 1349.0357595556.

The spelling of 2455106780 in words is "two billion, four hundred fifty-five million, one hundred six thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 199 245 398 490 796 980 995 1393 1990 2786 3980 5572 6965 9751 12589 13930 19502 25178 27860 39004 48755 50356 62945 88123 97510 125890 176246 195020 251780 352492 440615 616861 881230 1233722 1762460 2467444 2505211 3084305 5010422 6168610 10020844 12337220 12526055 17536477 25052110 35072954 50104220 70145908 87682385 122755339 175364770 245510678 350729540 491021356 613776695 1227553390 2455106780