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2042976816 = 2435525457
BaseRepresentation
bin111100111000101…
…0101101000110000
312021101012222100000
41321301111220300
513141000224231
6534420030000
7101425005426
oct17161255060
95241188300
102042976816
119592307a1
12490232300
13267343b2a
14155485116
15be5516e6
hex79c55a30

2042976816 has 60 divisors (see below), whose sum is σ = 5929268072. Its totient is φ = 680990976.

The previous prime is 2042976811. The next prime is 2042976821. The reversal of 2042976816 is 6186792402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042976811) and next prime (2042976821).

It is not an unprimeable number, because it can be changed into a prime (2042976811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258841 + ... + 266616.

Almost surely, 22042976816 is an apocalyptic number.

It is an amenable number.

2042976816 is an abundant number, since it is smaller than the sum of its proper divisors (3886291256).

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

2042976816 is an equidigital number, since it uses as much as digits as its factorization.

2042976816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525480 (or 525462 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2042976816 is about 45199.3010565429. The cubic root of 2042976816 is about 1268.8817353697.

The spelling of 2042976816 in words is "two billion, forty-two million, nine hundred seventy-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 525457 1050914 1576371 2101828 3152742 4203656 4729113 6305484 8407312 9458226 12610968 14187339 18916452 25221936 28374678 37832904 42562017 56749356 75665808 85124034 113498712 127686051 170248068 226997424 255372102 340496136 510744204 680992272 1021488408 2042976816