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2280447431316 = 2232173726221293
BaseRepresentation
bin100001001011110101010…
…000100101001010010100
322002000020022011110211200
4201023311100211022110
5244330324020300231
64503342330432500
7323520420224115
oct41136520451224
98060208143750
102280447431316
117aa15013a90a
12309b71292730
131370785c5ac2
147c534cda20c
153e4bdd52be6
hex212f5425294

2280447431316 has 36 divisors (see below), whose sum is σ = 6103550479572. Its totient is φ = 715434488064.

The previous prime is 2280447431267. The next prime is 2280447431321. The reversal of 2280447431316 is 6131347440822.

2280447431316 is a `hidden beast` number, since 2 + 280 + 4 + 47 + 4 + 313 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1857349219716 + 423098211600 = 1362846^2 + 650460^2 .

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

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, 1863110035 + ... + 1863111258.

It is an arithmetic number, because the mean of its divisors is an integer number (169543068877).

Almost surely, 22280447431316 is an apocalyptic number.

It is an amenable number.

2280447431316 is an abundant number, since it is smaller than the sum of its proper divisors (3823103048256).

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

2280447431316 is a wasteful number, since it uses less digits than its factorization.

2280447431316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726221320 (or 3726221315 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2280447431316 in words is "two trillion, two hundred eighty billion, four hundred forty-seven million, four hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 3726221293 7452442586 11178663879 14904885172 22357327758 33535991637 44714655516 63345761981 67071983274 126691523962 134143966548 190037285943 253383047924 380074571886 570111857829 760149143772 1140223715658 2280447431316