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2149541352 = 233275380471
BaseRepresentation
bin1000000000011111…
…0110010111101000
312112210202000101200
42000013312113220
513400240310402
6553144044200
7104160541260
oct20007662750
95483660350
102149541352
11a033a6262
124bba63660
1328344557a
141656a47a0
15c8aa121c
hex801f65e8

2149541352 has 96 divisors (see below), whose sum is σ = 6778961280. Its totient is φ = 602559360.

The previous prime is 2149541347. The next prime is 2149541411. The reversal of 2149541352 is 2531459412.

2149541352 is a `hidden beast` number, since 21 + 49 + 541 + 3 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13524 + ... + 66947.

It is an arithmetic number, because the mean of its divisors is an integer number (70614180).

Almost surely, 22149541352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149541352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389480640).

2149541352 is an abundant number, since it is smaller than the sum of its proper divisors (4629419928).

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

2149541352 is a wasteful number, since it uses less digits than its factorization.

2149541352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80543 (or 80536 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 2149541352 is about 46363.1464851125. The cubic root of 2149541352 is about 1290.5710974109.

The spelling of 2149541352 in words is "two billion, one hundred forty-nine million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1908 2226 2968 3339 3816 4452 6678 8904 13356 26712 80471 160942 241413 321884 482826 563297 643768 724239 965652 1126594 1448478 1689891 1931304 2253188 2896956 3379782 4264963 4506376 5069673 5793912 6759564 8529926 10139346 12794889 13519128 17059852 20278692 25589778 29854741 34119704 38384667 40557384 51179556 59709482 76769334 89564223 102359112 119418964 153538668 179128446 238837928 268692669 307077336 358256892 537385338 716513784 1074770676 2149541352