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2370163842 = 234137269397
BaseRepresentation
bin1000110101000101…
…1101010010000010
320010011212210120000
42031101131102002
514323230220332
61031104500430
7112510026444
oct21521352202
96104783500
102370163842
1110069941a2
1256191a716
132ba070417
14186ad4494
15dd130b7c
hex8d45d482

2370163842 has 80 divisors (see below), whose sum is σ = 5383101240. Its totient is φ = 779404032.

The previous prime is 2370163811. The next prime is 2370163843. The reversal of 2370163842 is 2483610732.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1774852641 + 595311201 = 42129^2 + 24399^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2370163797 and 2370163806.

It is not an unprimeable number, because it can be changed into a prime (2370163843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5969988 + ... + 5970384.

Almost surely, 22370163842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2370163842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2691550620).

2370163842 is an abundant number, since it is smaller than the sum of its proper divisors (3012937398).

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

2370163842 is a wasteful number, since it uses less digits than its factorization.

2370163842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2370163842 is about 48684.3285051771. The cubic root of 2370163842 is about 1333.2946081392.

The spelling of 2370163842 in words is "two billion, three hundred seventy million, one hundred sixty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 269 274 397 411 538 794 807 822 1191 1233 1614 2382 2421 2466 3573 3699 4842 7146 7263 7398 10719 11097 14526 21438 21789 22194 32157 36853 43578 54389 64314 73706 106793 108778 110559 163167 213586 221118 320379 326334 331677 489501 640758 663354 961137 979002 995031 1468503 1922274 1990062 2883411 2937006 2985093 4405509 5766822 5970186 8650233 8811018 14630641 17300466 29261282 43891923 87783846 131675769 263351538 395027307 790054614 1185081921 2370163842