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2150074980 = 2232511944861
BaseRepresentation
bin1000000000100111…
…1000101001100100
312112211202010101200
42000021320221210
513400404344410
6553203322500
7104165223114
oct20011705144
95484663350
102150074980
11a03730179
12500080430
132835a1421
141657a3044
15c8b593c0
hex80278a64

2150074980 has 36 divisors (see below), whose sum is σ = 6521894652. Its totient is φ = 573353280.

The previous prime is 2150074961. The next prime is 2150074987. The reversal of 2150074980 is 894700512.

2150074980 is a `hidden beast` number, since 2 + 1 + 500 + 74 + 9 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373958244 + 1776116736 = 19338^2 + 42144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (2150074987) 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, 5972251 + ... + 5972610.

Almost surely, 22150074980 is an apocalyptic number.

2150074980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2150074980 is an abundant number, since it is smaller than the sum of its proper divisors (4371819672).

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

2150074980 is a wasteful number, since it uses less digits than its factorization.

2150074980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11944876 (or 11944871 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2150074980 is about 46368.9010005629. The cubic root of 2150074980 is about 1290.6778842055.

The spelling of 2150074980 in words is "two billion, one hundred fifty million, seventy-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11944861 23889722 35834583 47779444 59724305 71669166 107503749 119448610 143338332 179172915 215007498 238897220 358345830 430014996 537518745 716691660 1075037490 2150074980