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2149006608 = 243272131951
BaseRepresentation
bin1000000000010111…
…0011110100010000
312112202201211212100
42000011303310100
513400121202413
6553124400400
7104153153250
oct20005636420
95482654770
102149006608
11a03070521
124bb846100
132832b9058
141655a5960
15c89e7a73
hex80173d10

2149006608 has 60 divisors (see below), whose sum is σ = 6873413248. Its totient is φ = 614001600.

The previous prime is 2149006603. The next prime is 2149006627. The reversal of 2149006608 is 8066009412.

2149006608 is a `hidden beast` number, since 2 + 1 + 49 + 0 + 0 + 6 + 608 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2149006603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1064968 + ... + 1066983.

Almost surely, 22149006608 is an apocalyptic number.

2149006608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2149006608 is an abundant number, since it is smaller than the sum of its proper divisors (4724406640).

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

2149006608 is a wasteful number, since it uses less digits than its factorization.

2149006608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131972 (or 2131963 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2149006608 is about 46357.3792184157. The cubic root of 2149006608 is about 1290.4640695581.

The spelling of 2149006608 in words is "two billion, one hundred forty-nine million, six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2131951 4263902 6395853 8527804 12791706 14923657 17055608 19187559 25583412 29847314 34111216 38375118 44770971 51166824 59694628 76750236 89541942 102333648 119389256 134312913 153500472 179083884 238778512 268625826 307000944 358167768 537251652 716335536 1074503304 2149006608