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263142036136 = 23717370138747
BaseRepresentation
bin1111010100010001111…
…1001101001010101000
3221011012211011110112101
43311010133031022220
513302403330124021
6320515155023144
725003622254630
oct3650437151250
9834184143471
10263142036136
11a1663901541
1242bb989aab4
131ba77a01935
14ca43d916c0
156ca1975a91
hex3d447cd2a8

263142036136 has 64 divisors (see below), whose sum is σ = 567958884480. Its totient is φ = 111960441600.

The previous prime is 263142036133. The next prime is 263142036167. The reversal of 263142036136 is 631630241362.

263142036136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 263142036095 and 263142036104.

It is not an unprimeable number, because it can be changed into a prime (263142036133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6771915 + ... + 6810661.

It is an arithmetic number, because the mean of its divisors is an integer number (8874357570).

Almost surely, 2263142036136 is an apocalyptic number.

It is an amenable number.

263142036136 is an abundant number, since it is smaller than the sum of its proper divisors (304816848344).

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

263142036136 is a wasteful number, since it uses less digits than its factorization.

263142036136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39634 (or 39630 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 263142036136 its reverse (631630241362), we get a palindrome (894772277498).

The spelling of 263142036136 in words is "two hundred sixty-three billion, one hundred forty-two million, thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 173 346 692 701 1211 1384 1402 2422 2804 4844 4907 5608 9688 9814 19628 38747 39256 77494 121273 154988 242546 271229 309976 485092 542458 848911 970184 1084916 1697822 2169832 3395644 6703231 6791288 13406462 26812924 27161647 46922617 53625848 54323294 93845234 108646588 187690468 190131529 217293176 375380936 380263058 760526116 1521052232 4698964931 9397929862 18795859724 32892754517 37591719448 65785509034 131571018068 263142036136