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2555505144 = 2332172087831
BaseRepresentation
bin1001100001010001…
…1110100111111000
320121002122010000200
42120110132213320
520213202131034
61101325202200
7120220302213
oct23024364770
96532563020
102555505144
1110a1574925
125b3a00360
1331959452a
141a357c77a
15ee541a99
hex9851e9f8

2555505144 has 48 divisors (see below), whose sum is σ = 7328290320. Its totient is φ = 801726720.

The previous prime is 2555505107. The next prime is 2555505151. The reversal of 2555505144 is 4415055552.

2555505144 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 505 + 144 = 666.

2555505144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2555505099 and 2555505108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042692 + ... + 1045139.

It is an arithmetic number, because the mean of its divisors is an integer number (152672715).

Almost surely, 22555505144 is an apocalyptic number.

2555505144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2555505144 is an abundant number, since it is smaller than the sum of its proper divisors (4772785176).

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

2555505144 is a wasteful number, since it uses less digits than its factorization.

2555505144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087860 (or 2087853 counting only the distinct ones).

The product of its (nonzero) digits is 100000, while the sum is 36.

The square root of 2555505144 is about 50552.0043519542. The cubic root of 2555505144 is about 1367.1796533351.

The spelling of 2555505144 in words is "two billion, five hundred fifty-five million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 2087831 4175662 6263493 8351324 12526986 16702648 18790479 25053972 35493127 37580958 50107944 70986254 75161916 106479381 141972508 150323832 212958762 283945016 319438143 425917524 638876286 851835048 1277752572 2555505144