Search a number
-
+
2132555544 = 233274231261
BaseRepresentation
bin111111100011100…
…0011011100011000
312111121210001020200
41333013003130120
513331413234134
6551340022200
7103563265050
oct17707033430
95447701220
102132555544
119a48545a9
124b6231960
1327ca790b2
14163322560
15c7348499
hex7f1c3718

2132555544 has 48 divisors (see below), whose sum is σ = 6600768720. Its totient is φ = 609301440.

The previous prime is 2132555527. The next prime is 2132555597. The reversal of 2132555544 is 4455552312.

2132555544 is a `hidden beast` number, since 21 + 32 + 55 + 554 + 4 = 666.

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 = 2132555499 and 2132555508.

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 11 ways as a sum of consecutive naturals, for example, 2115127 + ... + 2116134.

It is an arithmetic number, because the mean of its divisors is an integer number (137516015).

Almost surely, 22132555544 is an apocalyptic number.

2132555544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2132555544 is an abundant number, since it is smaller than the sum of its proper divisors (4468213176).

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

2132555544 is a wasteful number, since it uses less digits than its factorization.

2132555544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231280 (or 4231273 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 2132555544 is about 46179.6009510693. The cubic root of 2132555544 is about 1287.1627130938.

The spelling of 2132555544 in words is "two billion, one hundred thirty-two million, five hundred fifty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4231261 8462522 12693783 16925044 25387566 29618827 33850088 38081349 50775132 59237654 76162698 88856481 101550264 118475308 152325396 177712962 236950616 266569443 304650792 355425924 533138886 710851848 1066277772 2132555544