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4018133135 = 529612112153
BaseRepresentation
bin1110111101111111…
…1101100010001111
3101101000211022102202
43233133331202033
531212120230020
61502414312115
7201400365602
oct35737754217
911330738382
104018133135
111782149995
129417b863b
134c0600193
142a1914339
15187b57e75
hexef7fd88f

4018133135 has 32 divisors (see below), whose sum is σ = 5096191680. Its totient is φ = 3036902400.

The previous prime is 4018133131. The next prime is 4018133137. The reversal of 4018133135 is 5313318104.

It is not a de Polignac number, because 4018133135 - 22 = 4018133131 is a prime.

It is a super-2 number, since 2×40181331352 = 32290787781169856450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 4018133098 and 4018133107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4018133131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865219 + ... + 1867371.

It is an arithmetic number, because the mean of its divisors is an integer number (159255990).

Almost surely, 24018133135 is an apocalyptic number.

4018133135 is a deficient number, since it is larger than the sum of its proper divisors (1078058545).

4018133135 is a wasteful number, since it uses less digits than its factorization.

4018133135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 4018133135 is about 63388.7461226360. The cubic root of 4018133135 is about 1589.7961495182.

The spelling of 4018133135 in words is "four billion, eighteen million, one hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 5 29 61 145 211 305 1055 1769 2153 6119 8845 10765 12871 30595 62437 64355 131333 312185 373259 454283 656665 1866295 2271415 3808657 13174207 19043285 27711263 65871035 138556315 803626627 4018133135