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2155905153 = 34295691613
BaseRepresentation
bin1000000010000000…
…1000000010000001
312120020201022220000
42000200020002001
513403402431103
6553532310213
7104265614523
oct20040100201
95506638800
102155905153
11a06a524a6
12502012369
1328486302c
1416647da13
15c940baa3
hex80808081

2155905153 has 40 divisors (see below), whose sum is σ = 3339527400. Its totient is φ = 1384411392.

The previous prime is 2155905119. The next prime is 2155905179. The reversal of 2155905153 is 3515095512.

2155905153 is a `hidden beast` number, since 2 + 1 + 55 + 90 + 515 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169598529 + 1986306624 = 13023^2 + 44568^2 .

It is not a de Polignac number, because 2155905153 - 217 = 2155774081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2155905853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1335775 + ... + 1337387.

It is an arithmetic number, because the mean of its divisors is an integer number (83488185).

Almost surely, 22155905153 is an apocalyptic number.

It is an amenable number.

2155905153 is a deficient number, since it is larger than the sum of its proper divisors (1183622247).

2155905153 is a wasteful number, since it uses less digits than its factorization.

2155905153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 2155905153 is about 46431.7257163677. The cubic root of 2155905153 is about 1291.8434379856.

The spelling of 2155905153 in words is "two billion, one hundred fifty-five million, nine hundred five thousand, one hundred fifty-three".

Divisors: 1 3 9 27 29 81 87 261 569 783 1613 1707 2349 4839 5121 14517 15363 16501 43551 46089 46777 49503 130653 140331 148509 420993 445527 917797 1262979 1336581 2753391 3788937 8260173 24780519 26616113 74341557 79848339 239545017 718635051 2155905153